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Finding the Third Proportional to 10,631.25 and 16,031.25

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Solution

The third proportional to 10,631.25 and 16,031.25 is: 24,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,631.25 : 16,031.25 = 16,031.25 : x
  2. Step 2: Convert to fraction form
    10,631.25/16,031.25 = 16,031.25/x
  3. Step 3: Cross multiply
    10,631.25x = 16,031.25 × 16,031.25
  4. Step 4: Simplify right side
    10,631.25x = 257,000,976.56
  5. Step 5: Solve for x
    x = 257,000,976.56/10,631.25
  6. Step 6: Final answer
    x = 24,174.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.