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Finding the Third Proportional to 23,748 and 36,102

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Solution

The third proportional to 23,748 and 36,102 is: 54,882.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,748 : 36,102 = 36,102 : x
  2. Step 2: Convert to fraction form
    23,748/36,102 = 36,102/x
  3. Step 3: Cross multiply
    23,748x = 36,102 × 36,102
  4. Step 4: Simplify right side
    23,748x = 1,303,354,404
  5. Step 5: Solve for x
    x = 1,303,354,404/23,748
  6. Step 6: Final answer
    x = 54,882.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.