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Finding the Third Proportional to 10,107 and 15,579

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Solution

The third proportional to 10,107 and 15,579 is: 24,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107 : 15,579 = 15,579 : x
  2. Step 2: Convert to fraction form
    10,107/15,579 = 15,579/x
  3. Step 3: Cross multiply
    10,107x = 15,579 × 15,579
  4. Step 4: Simplify right side
    10,107x = 242,705,241
  5. Step 5: Solve for x
    x = 242,705,241/10,107
  6. Step 6: Final answer
    x = 24,013.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.