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Finding the Third Proportional to 15,722 and 34,358

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Solution

The third proportional to 15,722 and 34,358 is: 75,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722 : 34,358 = 34,358 : x
  2. Step 2: Convert to fraction form
    15,722/34,358 = 34,358/x
  3. Step 3: Cross multiply
    15,722x = 34,358 × 34,358
  4. Step 4: Simplify right side
    15,722x = 1,180,472,164
  5. Step 5: Solve for x
    x = 1,180,472,164/15,722
  6. Step 6: Final answer
    x = 75,084.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.