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Finding the Third Proportional to 38,607 and 82,565

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Solution

The third proportional to 38,607 and 82,565 is: 176,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,607 : 82,565 = 82,565 : x
  2. Step 2: Convert to fraction form
    38,607/82,565 = 82,565/x
  3. Step 3: Cross multiply
    38,607x = 82,565 × 82,565
  4. Step 4: Simplify right side
    38,607x = 6,816,979,225
  5. Step 5: Solve for x
    x = 6,816,979,225/38,607
  6. Step 6: Final answer
    x = 176,573.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.