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Finding the Third Proportional to 15,602.25 and 34,120.31

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Solution

The third proportional to 15,602.25 and 34,120.31 is: 74,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,602.25 : 34,120.31 = 34,120.31 : x
  2. Step 2: Convert to fraction form
    15,602.25/34,120.31 = 34,120.31/x
  3. Step 3: Cross multiply
    15,602.25x = 34,120.31 × 34,120.31
  4. Step 4: Simplify right side
    15,602.25x = 1,164,195,725.10
  5. Step 5: Solve for x
    x = 1,164,195,725.10/15,602.25
  6. Step 6: Final answer
    x = 74,617.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.