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Finding the Third Proportional to 10,323 and 15,818.25

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Solution

The third proportional to 10,323 and 15,818.25 is: 24,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323 : 15,818.25 = 15,818.25 : x
  2. Step 2: Convert to fraction form
    10,323/15,818.25 = 15,818.25/x
  3. Step 3: Cross multiply
    10,323x = 15,818.25 × 15,818.25
  4. Step 4: Simplify right side
    10,323x = 250,217,033.06
  5. Step 5: Solve for x
    x = 250,217,033.06/10,323
  6. Step 6: Final answer
    x = 24,238.79

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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.