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Finding the Third Proportional to 23,735 and 54,959

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Solution

The third proportional to 23,735 and 54,959 is: 127,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,735 : 54,959 = 54,959 : x
  2. Step 2: Convert to fraction form
    23,735/54,959 = 54,959/x
  3. Step 3: Cross multiply
    23,735x = 54,959 × 54,959
  4. Step 4: Simplify right side
    23,735x = 3,020,491,681
  5. Step 5: Solve for x
    x = 3,020,491,681/23,735
  6. Step 6: Final answer
    x = 127,258.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.