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Finding the Third Proportional to 16,500 and 24,560

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Solution

The third proportional to 16,500 and 24,560 is: 36,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500 : 24,560 = 24,560 : x
  2. Step 2: Convert to fraction form
    16,500/24,560 = 24,560/x
  3. Step 3: Cross multiply
    16,500x = 24,560 × 24,560
  4. Step 4: Simplify right side
    16,500x = 603,193,600
  5. Step 5: Solve for x
    x = 603,193,600/16,500
  6. Step 6: Final answer
    x = 36,557.19

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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.