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Finding the Third Proportional to 15,472 and 26,974.50

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Solution

The third proportional to 15,472 and 26,974.50 is: 47,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,472 : 26,974.50 = 26,974.50 : x
  2. Step 2: Convert to fraction form
    15,472/26,974.50 = 26,974.50/x
  3. Step 3: Cross multiply
    15,472x = 26,974.50 × 26,974.50
  4. Step 4: Simplify right side
    15,472x = 727,623,650.25
  5. Step 5: Solve for x
    x = 727,623,650.25/15,472
  6. Step 6: Final answer
    x = 47,028.42

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.