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Finding the Third Proportional to 10,207 and 15,612

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Solution

The third proportional to 10,207 and 15,612 is: 23,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207 : 15,612 = 15,612 : x
  2. Step 2: Convert to fraction form
    10,207/15,612 = 15,612/x
  3. Step 3: Cross multiply
    10,207x = 15,612 × 15,612
  4. Step 4: Simplify right side
    10,207x = 243,734,544
  5. Step 5: Solve for x
    x = 243,734,544/10,207
  6. Step 6: Final answer
    x = 23,879.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.