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Finding the Third Proportional to 9,044 and 16,132

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Solution

The third proportional to 9,044 and 16,132 is: 28,775.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,044 : 16,132 = 16,132 : x
  2. Step 2: Convert to fraction form
    9,044/16,132 = 16,132/x
  3. Step 3: Cross multiply
    9,044x = 16,132 × 16,132
  4. Step 4: Simplify right side
    9,044x = 260,241,424
  5. Step 5: Solve for x
    x = 260,241,424/9,044
  6. Step 6: Final answer
    x = 28,775.04

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.