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Finding the Third Proportional to 22,842 and 49,959

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Solution

The third proportional to 22,842 and 49,959 is: 109,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842 : 49,959 = 49,959 : x
  2. Step 2: Convert to fraction form
    22,842/49,959 = 49,959/x
  3. Step 3: Cross multiply
    22,842x = 49,959 × 49,959
  4. Step 4: Simplify right side
    22,842x = 2,495,901,681
  5. Step 5: Solve for x
    x = 2,495,901,681/22,842
  6. Step 6: Final answer
    x = 109,268.09

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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.