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Finding the Third Proportional to 31,438.13 and 49,070.81

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Solution

The third proportional to 31,438.13 and 49,070.81 is: 76,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438.13 : 49,070.81 = 49,070.81 : x
  2. Step 2: Convert to fraction form
    31,438.13/49,070.81 = 49,070.81/x
  3. Step 3: Cross multiply
    31,438.13x = 49,070.81 × 49,070.81
  4. Step 4: Simplify right side
    31,438.13x = 2,407,944,639.41
  5. Step 5: Solve for x
    x = 2,407,944,639.41/31,438.13
  6. Step 6: Final answer
    x = 76,593.14

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.