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Finding the Third Proportional to 30,142.97 and 44,343.28

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Solution

The third proportional to 30,142.97 and 44,343.28 is: 65,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.97 : 44,343.28 = 44,343.28 : x
  2. Step 2: Convert to fraction form
    30,142.97/44,343.28 = 44,343.28/x
  3. Step 3: Cross multiply
    30,142.97x = 44,343.28 × 44,343.28
  4. Step 4: Simplify right side
    30,142.97x = 1,966,326,592.02
  5. Step 5: Solve for x
    x = 1,966,326,592.02/30,142.97
  6. Step 6: Final answer
    x = 65,233.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.