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Finding the Third Proportional to 40,562 and 62,511

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Solution

The third proportional to 40,562 and 62,511 is: 96,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,562 : 62,511 = 62,511 : x
  2. Step 2: Convert to fraction form
    40,562/62,511 = 62,511/x
  3. Step 3: Cross multiply
    40,562x = 62,511 × 62,511
  4. Step 4: Simplify right side
    40,562x = 3,907,625,121
  5. Step 5: Solve for x
    x = 3,907,625,121/40,562
  6. Step 6: Final answer
    x = 96,337.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.