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Finding the Third Proportional to 15,970 and 22,334

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Solution

The third proportional to 15,970 and 22,334 is: 31,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970 : 22,334 = 22,334 : x
  2. Step 2: Convert to fraction form
    15,970/22,334 = 22,334/x
  3. Step 3: Cross multiply
    15,970x = 22,334 × 22,334
  4. Step 4: Simplify right side
    15,970x = 498,807,556
  5. Step 5: Solve for x
    x = 498,807,556/15,970
  6. Step 6: Final answer
    x = 31,234.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.