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Finding the Third Proportional to 1,867.50 and 4,402.13

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Solution

The third proportional to 1,867.50 and 4,402.13 is: 10,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.50 : 4,402.13 = 4,402.13 : x
  2. Step 2: Convert to fraction form
    1,867.50/4,402.13 = 4,402.13/x
  3. Step 3: Cross multiply
    1,867.50x = 4,402.13 × 4,402.13
  4. Step 4: Simplify right side
    1,867.50x = 19,378,704.52
  5. Step 5: Solve for x
    x = 19,378,704.52/1,867.50
  6. Step 6: Final answer
    x = 10,376.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.