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Finding the Third Proportional to 40,565.81 and 61,106.91

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Solution

The third proportional to 40,565.81 and 61,106.91 is: 92,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,565.81 : 61,106.91 = 61,106.91 : x
  2. Step 2: Convert to fraction form
    40,565.81/61,106.91 = 61,106.91/x
  3. Step 3: Cross multiply
    40,565.81x = 61,106.91 × 61,106.91
  4. Step 4: Simplify right side
    40,565.81x = 3,734,053,991.45
  5. Step 5: Solve for x
    x = 3,734,053,991.45/40,565.81
  6. Step 6: Final answer
    x = 92,049.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.