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Finding the Third Proportional to 42,802.31 and 66,534.75

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Solution

The third proportional to 42,802.31 and 66,534.75 is: 103,426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,802.31 : 66,534.75 = 66,534.75 : x
  2. Step 2: Convert to fraction form
    42,802.31/66,534.75 = 66,534.75/x
  3. Step 3: Cross multiply
    42,802.31x = 66,534.75 × 66,534.75
  4. Step 4: Simplify right side
    42,802.31x = 4,426,872,957.56
  5. Step 5: Solve for x
    x = 4,426,872,957.56/42,802.31
  6. Step 6: Final answer
    x = 103,426.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.