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Finding the Third Proportional to 7,882 and 17,076

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Solution

The third proportional to 7,882 and 17,076 is: 36,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882 : 17,076 = 17,076 : x
  2. Step 2: Convert to fraction form
    7,882/17,076 = 17,076/x
  3. Step 3: Cross multiply
    7,882x = 17,076 × 17,076
  4. Step 4: Simplify right side
    7,882x = 291,589,776
  5. Step 5: Solve for x
    x = 291,589,776/7,882
  6. Step 6: Final answer
    x = 36,994.39

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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.