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Finding the Third Proportional to 15,573 and 34,359

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Solution

The third proportional to 15,573 and 34,359 is: 75,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,573 : 34,359 = 34,359 : x
  2. Step 2: Convert to fraction form
    15,573/34,359 = 34,359/x
  3. Step 3: Cross multiply
    15,573x = 34,359 × 34,359
  4. Step 4: Simplify right side
    15,573x = 1,180,540,881
  5. Step 5: Solve for x
    x = 1,180,540,881/15,573
  6. Step 6: Final answer
    x = 75,806.90

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.