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Finding the Third Proportional to 31,260 and 67,452

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Solution

The third proportional to 31,260 and 67,452 is: 145,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,260 : 67,452 = 67,452 : x
  2. Step 2: Convert to fraction form
    31,260/67,452 = 67,452/x
  3. Step 3: Cross multiply
    31,260x = 67,452 × 67,452
  4. Step 4: Simplify right side
    31,260x = 4,549,772,304
  5. Step 5: Solve for x
    x = 4,549,772,304/31,260
  6. Step 6: Final answer
    x = 145,546.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.