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Finding the Third Proportional to 24,232 and 51,967

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Solution

The third proportional to 24,232 and 51,967 is: 111,446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232 : 51,967 = 51,967 : x
  2. Step 2: Convert to fraction form
    24,232/51,967 = 51,967/x
  3. Step 3: Cross multiply
    24,232x = 51,967 × 51,967
  4. Step 4: Simplify right side
    24,232x = 2,700,569,089
  5. Step 5: Solve for x
    x = 2,700,569,089/24,232
  6. Step 6: Final answer
    x = 111,446.40

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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.