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Finding the Third Proportional to 16,722.50 and 22,304

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Solution

The third proportional to 16,722.50 and 22,304 is: 29,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,722.50 : 22,304 = 22,304 : x
  2. Step 2: Convert to fraction form
    16,722.50/22,304 = 22,304/x
  3. Step 3: Cross multiply
    16,722.50x = 22,304 × 22,304
  4. Step 4: Simplify right side
    16,722.50x = 497,468,416
  5. Step 5: Solve for x
    x = 497,468,416/16,722.50
  6. Step 6: Final answer
    x = 29,748.45

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