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Finding the Third Proportional to 30,146 and 44,317

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Solution

The third proportional to 30,146 and 44,317 is: 65,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146 : 44,317 = 44,317 : x
  2. Step 2: Convert to fraction form
    30,146/44,317 = 44,317/x
  3. Step 3: Cross multiply
    30,146x = 44,317 × 44,317
  4. Step 4: Simplify right side
    30,146x = 1,963,996,489
  5. Step 5: Solve for x
    x = 1,963,996,489/30,146
  6. Step 6: Final answer
    x = 65,149.49

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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.