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Finding the Third Proportional to 16,723.50 and 22,306.13

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Solution

The third proportional to 16,723.50 and 22,306.13 is: 29,752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,723.50 : 22,306.13 = 22,306.13 : x
  2. Step 2: Convert to fraction form
    16,723.50/22,306.13 = 22,306.13/x
  3. Step 3: Cross multiply
    16,723.50x = 22,306.13 × 22,306.13
  4. Step 4: Simplify right side
    16,723.50x = 497,563,212.52
  5. Step 5: Solve for x
    x = 497,563,212.52/16,723.50
  6. Step 6: Final answer
    x = 29,752.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.