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Finding the Third Proportional to 32,458 and 66,452

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Solution

The third proportional to 32,458 and 66,452 is: 136,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458 : 66,452 = 66,452 : x
  2. Step 2: Convert to fraction form
    32,458/66,452 = 66,452/x
  3. Step 3: Cross multiply
    32,458x = 66,452 × 66,452
  4. Step 4: Simplify right side
    32,458x = 4,415,868,304
  5. Step 5: Solve for x
    x = 4,415,868,304/32,458
  6. Step 6: Final answer
    x = 136,048.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.