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Finding the Third Proportional to 10,199 and 15,683

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Solution

The third proportional to 10,199 and 15,683 is: 24,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199 : 15,683 = 15,683 : x
  2. Step 2: Convert to fraction form
    10,199/15,683 = 15,683/x
  3. Step 3: Cross multiply
    10,199x = 15,683 × 15,683
  4. Step 4: Simplify right side
    10,199x = 245,956,489
  5. Step 5: Solve for x
    x = 245,956,489/10,199
  6. Step 6: Final answer
    x = 24,115.75

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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.