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Finding the Third Proportional to 10,031 and 15,047

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Solution

The third proportional to 10,031 and 15,047 is: 22,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031 : 15,047 = 15,047 : x
  2. Step 2: Convert to fraction form
    10,031/15,047 = 15,047/x
  3. Step 3: Cross multiply
    10,031x = 15,047 × 15,047
  4. Step 4: Simplify right side
    10,031x = 226,412,209
  5. Step 5: Solve for x
    x = 226,412,209/10,031
  6. Step 6: Final answer
    x = 22,571.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.