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Finding the Third Proportional to 15,147.50 and 31,048.75

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Solution

The third proportional to 15,147.50 and 31,048.75 is: 63,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147.50 : 31,048.75 = 31,048.75 : x
  2. Step 2: Convert to fraction form
    15,147.50/31,048.75 = 31,048.75/x
  3. Step 3: Cross multiply
    15,147.50x = 31,048.75 × 31,048.75
  4. Step 4: Simplify right side
    15,147.50x = 964,024,876.56
  5. Step 5: Solve for x
    x = 964,024,876.56/15,147.50
  6. Step 6: Final answer
    x = 63,642.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.