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Finding the Third Proportional to 6,490.97 and 13,968.28

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Solution

The third proportional to 6,490.97 and 13,968.28 is: 30,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.97 : 13,968.28 = 13,968.28 : x
  2. Step 2: Convert to fraction form
    6,490.97/13,968.28 = 13,968.28/x
  3. Step 3: Cross multiply
    6,490.97x = 13,968.28 × 13,968.28
  4. Step 4: Simplify right side
    6,490.97x = 195,112,881.08
  5. Step 5: Solve for x
    x = 195,112,881.08/6,490.97
  6. Step 6: Final answer
    x = 30,059.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.