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Finding the Third Proportional to 26,100 and 61,602

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Solution

The third proportional to 26,100 and 61,602 is: 145,394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,100 : 61,602 = 61,602 : x
  2. Step 2: Convert to fraction form
    26,100/61,602 = 61,602/x
  3. Step 3: Cross multiply
    26,100x = 61,602 × 61,602
  4. Step 4: Simplify right side
    26,100x = 3,794,806,404
  5. Step 5: Solve for x
    x = 3,794,806,404/26,100
  6. Step 6: Final answer
    x = 145,394.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.