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Finding the Third Proportional to 16,705 and 24,559

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Solution

The third proportional to 16,705 and 24,559 is: 36,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705 : 24,559 = 24,559 : x
  2. Step 2: Convert to fraction form
    16,705/24,559 = 24,559/x
  3. Step 3: Cross multiply
    16,705x = 24,559 × 24,559
  4. Step 4: Simplify right side
    16,705x = 603,144,481
  5. Step 5: Solve for x
    x = 603,144,481/16,705
  6. Step 6: Final answer
    x = 36,105.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.