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Finding the Third Proportional to 9,228 and 19,769

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Solution

The third proportional to 9,228 and 19,769 is: 42,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228 : 19,769 = 19,769 : x
  2. Step 2: Convert to fraction form
    9,228/19,769 = 19,769/x
  3. Step 3: Cross multiply
    9,228x = 19,769 × 19,769
  4. Step 4: Simplify right side
    9,228x = 390,813,361
  5. Step 5: Solve for x
    x = 390,813,361/9,228
  6. Step 6: Final answer
    x = 42,350.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.