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Finding the Third Proportional to 7,540 and 9,798

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Solution

The third proportional to 7,540 and 9,798 is: 12,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540 : 9,798 = 9,798 : x
  2. Step 2: Convert to fraction form
    7,540/9,798 = 9,798/x
  3. Step 3: Cross multiply
    7,540x = 9,798 × 9,798
  4. Step 4: Simplify right side
    7,540x = 96,000,804
  5. Step 5: Solve for x
    x = 96,000,804/7,540
  6. Step 6: Final answer
    x = 12,732.20

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.