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Finding the Third Proportional to 8,312 and 12,440

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Solution

The third proportional to 8,312 and 12,440 is: 18,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312 : 12,440 = 12,440 : x
  2. Step 2: Convert to fraction form
    8,312/12,440 = 12,440/x
  3. Step 3: Cross multiply
    8,312x = 12,440 × 12,440
  4. Step 4: Simplify right side
    8,312x = 154,753,600
  5. Step 5: Solve for x
    x = 154,753,600/8,312
  6. Step 6: Final answer
    x = 18,618.09

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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.