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Finding the Third Proportional to 26,532 and 41,413

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Solution

The third proportional to 26,532 and 41,413 is: 64,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,532 : 41,413 = 41,413 : x
  2. Step 2: Convert to fraction form
    26,532/41,413 = 41,413/x
  3. Step 3: Cross multiply
    26,532x = 41,413 × 41,413
  4. Step 4: Simplify right side
    26,532x = 1,715,036,569
  5. Step 5: Solve for x
    x = 1,715,036,569/26,532
  6. Step 6: Final answer
    x = 64,640.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.