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Finding the Third Proportional to 45,882.13 and 66,825.88

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Solution

The third proportional to 45,882.13 and 66,825.88 is: 97,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,882.13 : 66,825.88 = 66,825.88 : x
  2. Step 2: Convert to fraction form
    45,882.13/66,825.88 = 66,825.88/x
  3. Step 3: Cross multiply
    45,882.13x = 66,825.88 × 66,825.88
  4. Step 4: Simplify right side
    45,882.13x = 4,465,697,569.52
  5. Step 5: Solve for x
    x = 4,465,697,569.52/45,882.13
  6. Step 6: Final answer
    x = 97,329.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.