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Finding the Third Proportional to 16,450.08 and 24,565.27

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Solution

The third proportional to 16,450.08 and 24,565.27 is: 36,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,450.08 : 24,565.27 = 24,565.27 : x
  2. Step 2: Convert to fraction form
    16,450.08/24,565.27 = 24,565.27/x
  3. Step 3: Cross multiply
    16,450.08x = 24,565.27 × 24,565.27
  4. Step 4: Simplify right side
    16,450.08x = 603,452,275.23
  5. Step 5: Solve for x
    x = 603,452,275.23/16,450.08
  6. Step 6: Final answer
    x = 36,683.85

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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.