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Finding the Third Proportional to 16,565.77 and 24,615.14

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Solution

The third proportional to 16,565.77 and 24,615.14 is: 36,575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.77 : 24,615.14 = 24,615.14 : x
  2. Step 2: Convert to fraction form
    16,565.77/24,615.14 = 24,615.14/x
  3. Step 3: Cross multiply
    16,565.77x = 24,615.14 × 24,615.14
  4. Step 4: Simplify right side
    16,565.77x = 605,905,147.99
  5. Step 5: Solve for x
    x = 605,905,147.99/16,565.77
  6. Step 6: Final answer
    x = 36,575.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.