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Finding the Third Proportional to 8,271 and 12,457.13

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Solution

The third proportional to 8,271 and 12,457.13 is: 18,761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271 : 12,457.13 = 12,457.13 : x
  2. Step 2: Convert to fraction form
    8,271/12,457.13 = 12,457.13/x
  3. Step 3: Cross multiply
    8,271x = 12,457.13 × 12,457.13
  4. Step 4: Simplify right side
    8,271x = 155,179,963.27
  5. Step 5: Solve for x
    x = 155,179,963.27/8,271
  6. Step 6: Final answer
    x = 18,761.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.