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Finding the Third Proportional to 38,475 and 82,053

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Solution

The third proportional to 38,475 and 82,053 is: 174,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475 : 82,053 = 82,053 : x
  2. Step 2: Convert to fraction form
    38,475/82,053 = 82,053/x
  3. Step 3: Cross multiply
    38,475x = 82,053 × 82,053
  4. Step 4: Simplify right side
    38,475x = 6,732,694,809
  5. Step 5: Solve for x
    x = 6,732,694,809/38,475
  6. Step 6: Final answer
    x = 174,988.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.