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Finding the Third Proportional to 34,590 and 67,452

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Solution

The third proportional to 34,590 and 67,452 is: 131,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,590 : 67,452 = 67,452 : x
  2. Step 2: Convert to fraction form
    34,590/67,452 = 67,452/x
  3. Step 3: Cross multiply
    34,590x = 67,452 × 67,452
  4. Step 4: Simplify right side
    34,590x = 4,549,772,304
  5. Step 5: Solve for x
    x = 4,549,772,304/34,590
  6. Step 6: Final answer
    x = 131,534.33

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.