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Finding the Third Proportional to 4,102.59 and 9,002.95

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Solution

The third proportional to 4,102.59 and 9,002.95 is: 19,756.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.59 : 9,002.95 = 9,002.95 : x
  2. Step 2: Convert to fraction form
    4,102.59/9,002.95 = 9,002.95/x
  3. Step 3: Cross multiply
    4,102.59x = 9,002.95 × 9,002.95
  4. Step 4: Simplify right side
    4,102.59x = 81,053,164.97
  5. Step 5: Solve for x
    x = 81,053,164.97/4,102.59
  6. Step 6: Final answer
    x = 19,756.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.