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Finding the Third Proportional to 47,116.13 and 72,861.38

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Solution

The third proportional to 47,116.13 and 72,861.38 is: 112,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,116.13 : 72,861.38 = 72,861.38 : x
  2. Step 2: Convert to fraction form
    47,116.13/72,861.38 = 72,861.38/x
  3. Step 3: Cross multiply
    47,116.13x = 72,861.38 × 72,861.38
  4. Step 4: Simplify right side
    47,116.13x = 5,308,779,966.89
  5. Step 5: Solve for x
    x = 5,308,779,966.89/47,116.13
  6. Step 6: Final answer
    x = 112,674.38

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