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Finding the Third Proportional to 28,552 and 45,467

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Solution

The third proportional to 28,552 and 45,467 is: 72,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,552 : 45,467 = 45,467 : x
  2. Step 2: Convert to fraction form
    28,552/45,467 = 45,467/x
  3. Step 3: Cross multiply
    28,552x = 45,467 × 45,467
  4. Step 4: Simplify right side
    28,552x = 2,067,248,089
  5. Step 5: Solve for x
    x = 2,067,248,089/28,552
  6. Step 6: Final answer
    x = 72,402.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.