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Finding the Third Proportional to 15,148.50 and 31,031

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Solution

The third proportional to 15,148.50 and 31,031 is: 63,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,148.50 : 31,031 = 31,031 : x
  2. Step 2: Convert to fraction form
    15,148.50/31,031 = 31,031/x
  3. Step 3: Cross multiply
    15,148.50x = 31,031 × 31,031
  4. Step 4: Simplify right side
    15,148.50x = 962,922,961
  5. Step 5: Solve for x
    x = 962,922,961/15,148.50
  6. Step 6: Final answer
    x = 63,565.56

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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.