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Finding the Third Proportional to 35,882 and 77,506

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Solution

The third proportional to 35,882 and 77,506 is: 167,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882 : 77,506 = 77,506 : x
  2. Step 2: Convert to fraction form
    35,882/77,506 = 77,506/x
  3. Step 3: Cross multiply
    35,882x = 77,506 × 77,506
  4. Step 4: Simplify right side
    35,882x = 6,007,180,036
  5. Step 5: Solve for x
    x = 6,007,180,036/35,882
  6. Step 6: Final answer
    x = 167,414.86

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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.