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Finding the Third Proportional to 28,442 and 39,207

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Solution

The third proportional to 28,442 and 39,207 is: 54,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,442 : 39,207 = 39,207 : x
  2. Step 2: Convert to fraction form
    28,442/39,207 = 39,207/x
  3. Step 3: Cross multiply
    28,442x = 39,207 × 39,207
  4. Step 4: Simplify right side
    28,442x = 1,537,188,849
  5. Step 5: Solve for x
    x = 1,537,188,849/28,442
  6. Step 6: Final answer
    x = 54,046.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.