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Finding the Third Proportional to 16,565.77 and 35,956.41

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Solution

The third proportional to 16,565.77 and 35,956.41 is: 78,044.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.77 : 35,956.41 = 35,956.41 : x
  2. Step 2: Convert to fraction form
    16,565.77/35,956.41 = 35,956.41/x
  3. Step 3: Cross multiply
    16,565.77x = 35,956.41 × 35,956.41
  4. Step 4: Simplify right side
    16,565.77x = 1,292,863,150.42
  5. Step 5: Solve for x
    x = 1,292,863,150.42/16,565.77
  6. Step 6: Final answer
    x = 78,044.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.