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Finding the Third Proportional to 16,050 and 24,587

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Solution

The third proportional to 16,050 and 24,587 is: 37,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,050 : 24,587 = 24,587 : x
  2. Step 2: Convert to fraction form
    16,050/24,587 = 24,587/x
  3. Step 3: Cross multiply
    16,050x = 24,587 × 24,587
  4. Step 4: Simplify right side
    16,050x = 604,520,569
  5. Step 5: Solve for x
    x = 604,520,569/16,050
  6. Step 6: Final answer
    x = 37,664.83

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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.