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Finding the Third Proportional to 10,755 and 25,246

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Solution

The third proportional to 10,755 and 25,246 is: 59,261.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755 : 25,246 = 25,246 : x
  2. Step 2: Convert to fraction form
    10,755/25,246 = 25,246/x
  3. Step 3: Cross multiply
    10,755x = 25,246 × 25,246
  4. Step 4: Simplify right side
    10,755x = 637,360,516
  5. Step 5: Solve for x
    x = 637,360,516/10,755
  6. Step 6: Final answer
    x = 59,261.79

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.