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Finding the Third Proportional to 15,429 and 23,967

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Solution

The third proportional to 15,429 and 23,967 is: 37,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,429 : 23,967 = 23,967 : x
  2. Step 2: Convert to fraction form
    15,429/23,967 = 23,967/x
  3. Step 3: Cross multiply
    15,429x = 23,967 × 23,967
  4. Step 4: Simplify right side
    15,429x = 574,417,089
  5. Step 5: Solve for x
    x = 574,417,089/15,429
  6. Step 6: Final answer
    x = 37,229.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.