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Finding the Third Proportional to 30,344 and 66,522

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Solution

The third proportional to 30,344 and 66,522 is: 145,833.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,344 : 66,522 = 66,522 : x
  2. Step 2: Convert to fraction form
    30,344/66,522 = 66,522/x
  3. Step 3: Cross multiply
    30,344x = 66,522 × 66,522
  4. Step 4: Simplify right side
    30,344x = 4,425,176,484
  5. Step 5: Solve for x
    x = 4,425,176,484/30,344
  6. Step 6: Final answer
    x = 145,833.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.