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Finding the Third Proportional to 32,527 and 66,470

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Solution

The third proportional to 32,527 and 66,470 is: 135,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,527 : 66,470 = 66,470 : x
  2. Step 2: Convert to fraction form
    32,527/66,470 = 66,470/x
  3. Step 3: Cross multiply
    32,527x = 66,470 × 66,470
  4. Step 4: Simplify right side
    32,527x = 4,418,260,900
  5. Step 5: Solve for x
    x = 4,418,260,900/32,527
  6. Step 6: Final answer
    x = 135,833.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.