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Finding the Third Proportional to 10,234.13 and 15,364.13

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Solution

The third proportional to 10,234.13 and 15,364.13 is: 23,065.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.13 : 15,364.13 = 15,364.13 : x
  2. Step 2: Convert to fraction form
    10,234.13/15,364.13 = 15,364.13/x
  3. Step 3: Cross multiply
    10,234.13x = 15,364.13 × 15,364.13
  4. Step 4: Simplify right side
    10,234.13x = 236,056,337.02
  5. Step 5: Solve for x
    x = 236,056,337.02/10,234.13
  6. Step 6: Final answer
    x = 23,065.61

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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.