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Finding the Third Proportional to 1,966.78 and 4,882.78

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Solution

The third proportional to 1,966.78 and 4,882.78 is: 12,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.78 : 4,882.78 = 4,882.78 : x
  2. Step 2: Convert to fraction form
    1,966.78/4,882.78 = 4,882.78/x
  3. Step 3: Cross multiply
    1,966.78x = 4,882.78 × 4,882.78
  4. Step 4: Simplify right side
    1,966.78x = 23,841,552.74
  5. Step 5: Solve for x
    x = 23,841,552.74/1,966.78
  6. Step 6: Final answer
    x = 12,122.12

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These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.