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Finding the Third Proportional to 35,787 and 77,466

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Solution

The third proportional to 35,787 and 77,466 is: 167,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,787 : 77,466 = 77,466 : x
  2. Step 2: Convert to fraction form
    35,787/77,466 = 77,466/x
  3. Step 3: Cross multiply
    35,787x = 77,466 × 77,466
  4. Step 4: Simplify right side
    35,787x = 6,000,981,156
  5. Step 5: Solve for x
    x = 6,000,981,156/35,787
  6. Step 6: Final answer
    x = 167,686.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.