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Finding the Third Proportional to 31,074 and 66,522

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Solution

The third proportional to 31,074 and 66,522 is: 142,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074 : 66,522 = 66,522 : x
  2. Step 2: Convert to fraction form
    31,074/66,522 = 66,522/x
  3. Step 3: Cross multiply
    31,074x = 66,522 × 66,522
  4. Step 4: Simplify right side
    31,074x = 4,425,176,484
  5. Step 5: Solve for x
    x = 4,425,176,484/31,074
  6. Step 6: Final answer
    x = 142,407.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.