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Finding the Third Proportional to 8,038 and 11,310

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Solution

The third proportional to 8,038 and 11,310 is: 15,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038 : 11,310 = 11,310 : x
  2. Step 2: Convert to fraction form
    8,038/11,310 = 11,310/x
  3. Step 3: Cross multiply
    8,038x = 11,310 × 11,310
  4. Step 4: Simplify right side
    8,038x = 127,916,100
  5. Step 5: Solve for x
    x = 127,916,100/8,038
  6. Step 6: Final answer
    x = 15,913.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.