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Finding the Third Proportional to 16,565.77 and 25,344.14

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Solution

The third proportional to 16,565.77 and 25,344.14 is: 38,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.77 : 25,344.14 = 25,344.14 : x
  2. Step 2: Convert to fraction form
    16,565.77/25,344.14 = 25,344.14/x
  3. Step 3: Cross multiply
    16,565.77x = 25,344.14 × 25,344.14
  4. Step 4: Simplify right side
    16,565.77x = 642,325,464.02
  5. Step 5: Solve for x
    x = 642,325,464.02/16,565.77
  6. Step 6: Final answer
    x = 38,774.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.