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Finding the Third Proportional to 28,514 and 42,771

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Solution

The third proportional to 28,514 and 42,771 is: 64,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,514 : 42,771 = 42,771 : x
  2. Step 2: Convert to fraction form
    28,514/42,771 = 42,771/x
  3. Step 3: Cross multiply
    28,514x = 42,771 × 42,771
  4. Step 4: Simplify right side
    28,514x = 1,829,358,441
  5. Step 5: Solve for x
    x = 1,829,358,441/28,514
  6. Step 6: Final answer
    x = 64,156.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.