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Finding the Third Proportional to 38,475 and 83,511

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Solution

The third proportional to 38,475 and 83,511 is: 181,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475 : 83,511 = 83,511 : x
  2. Step 2: Convert to fraction form
    38,475/83,511 = 83,511/x
  3. Step 3: Cross multiply
    38,475x = 83,511 × 83,511
  4. Step 4: Simplify right side
    38,475x = 6,974,087,121
  5. Step 5: Solve for x
    x = 6,974,087,121/38,475
  6. Step 6: Final answer
    x = 181,262.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.