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Finding the Third Proportional to 9,830 and 15,195

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Solution

The third proportional to 9,830 and 15,195 is: 23,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830 : 15,195 = 15,195 : x
  2. Step 2: Convert to fraction form
    9,830/15,195 = 15,195/x
  3. Step 3: Cross multiply
    9,830x = 15,195 × 15,195
  4. Step 4: Simplify right side
    9,830x = 230,888,025
  5. Step 5: Solve for x
    x = 230,888,025/9,830
  6. Step 6: Final answer
    x = 23,488.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.