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Finding the Third Proportional to 58,861.13 and 75,577.13

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Solution

The third proportional to 58,861.13 and 75,577.13 is: 97,040.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,861.13 : 75,577.13 = 75,577.13 : x
  2. Step 2: Convert to fraction form
    58,861.13/75,577.13 = 75,577.13/x
  3. Step 3: Cross multiply
    58,861.13x = 75,577.13 × 75,577.13
  4. Step 4: Simplify right side
    58,861.13x = 5,711,901,823.27
  5. Step 5: Solve for x
    x = 5,711,901,823.27/58,861.13
  6. Step 6: Final answer
    x = 97,040.31

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.