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Finding the Third Proportional to 23,522 and 36,713

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Solution

The third proportional to 23,522 and 36,713 is: 57,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522 : 36,713 = 36,713 : x
  2. Step 2: Convert to fraction form
    23,522/36,713 = 36,713/x
  3. Step 3: Cross multiply
    23,522x = 36,713 × 36,713
  4. Step 4: Simplify right side
    23,522x = 1,347,844,369
  5. Step 5: Solve for x
    x = 1,347,844,369/23,522
  6. Step 6: Final answer
    x = 57,301.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.