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Finding the Third Proportional to 47,792.81 and 71,707.22

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Solution

The third proportional to 47,792.81 and 71,707.22 is: 107,587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,792.81 : 71,707.22 = 71,707.22 : x
  2. Step 2: Convert to fraction form
    47,792.81/71,707.22 = 71,707.22/x
  3. Step 3: Cross multiply
    47,792.81x = 71,707.22 × 71,707.22
  4. Step 4: Simplify right side
    47,792.81x = 5,141,925,220.86
  5. Step 5: Solve for x
    x = 5,141,925,220.86/47,792.81
  6. Step 6: Final answer
    x = 107,587.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.