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Finding the Third Proportional to 40,200.47 and 59,097.09

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Solution

The third proportional to 40,200.47 and 59,097.09 is: 86,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,200.47 : 59,097.09 = 59,097.09 : x
  2. Step 2: Convert to fraction form
    40,200.47/59,097.09 = 59,097.09/x
  3. Step 3: Cross multiply
    40,200.47x = 59,097.09 × 59,097.09
  4. Step 4: Simplify right side
    40,200.47x = 3,492,466,489.70
  5. Step 5: Solve for x
    x = 3,492,466,489.70/40,200.47
  6. Step 6: Final answer
    x = 86,876.26

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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.