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Finding the Third Proportional to 8,038 and 12,510

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Solution

The third proportional to 8,038 and 12,510 is: 19,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038 : 12,510 = 12,510 : x
  2. Step 2: Convert to fraction form
    8,038/12,510 = 12,510/x
  3. Step 3: Cross multiply
    8,038x = 12,510 × 12,510
  4. Step 4: Simplify right side
    8,038x = 156,500,100
  5. Step 5: Solve for x
    x = 156,500,100/8,038
  6. Step 6: Final answer
    x = 19,470.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.