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Finding the Third Proportional to 9,750 and 19,798

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Solution

The third proportional to 9,750 and 19,798 is: 40,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750 : 19,798 = 19,798 : x
  2. Step 2: Convert to fraction form
    9,750/19,798 = 19,798/x
  3. Step 3: Cross multiply
    9,750x = 19,798 × 19,798
  4. Step 4: Simplify right side
    9,750x = 391,960,804
  5. Step 5: Solve for x
    x = 391,960,804/9,750
  6. Step 6: Final answer
    x = 40,201.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.