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Finding the Third Proportional to 32,034 and 66,522

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Solution

The third proportional to 32,034 and 66,522 is: 138,139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034 : 66,522 = 66,522 : x
  2. Step 2: Convert to fraction form
    32,034/66,522 = 66,522/x
  3. Step 3: Cross multiply
    32,034x = 66,522 × 66,522
  4. Step 4: Simplify right side
    32,034x = 4,425,176,484
  5. Step 5: Solve for x
    x = 4,425,176,484/32,034
  6. Step 6: Final answer
    x = 138,139.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.