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Finding the Third Proportional to 9,822 and 15,023

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Solution

The third proportional to 9,822 and 15,023 is: 22,978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822 : 15,023 = 15,023 : x
  2. Step 2: Convert to fraction form
    9,822/15,023 = 15,023/x
  3. Step 3: Cross multiply
    9,822x = 15,023 × 15,023
  4. Step 4: Simplify right side
    9,822x = 225,690,529
  5. Step 5: Solve for x
    x = 225,690,529/9,822
  6. Step 6: Final answer
    x = 22,978.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.