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Finding the Third Proportional to 39,609 and 59,214

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Solution

The third proportional to 39,609 and 59,214 is: 88,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,609 : 59,214 = 59,214 : x
  2. Step 2: Convert to fraction form
    39,609/59,214 = 59,214/x
  3. Step 3: Cross multiply
    39,609x = 59,214 × 59,214
  4. Step 4: Simplify right side
    39,609x = 3,506,297,796
  5. Step 5: Solve for x
    x = 3,506,297,796/39,609
  6. Step 6: Final answer
    x = 88,522.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.