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Finding the Third Proportional to 8,110.13 and 12,674.81

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Solution

The third proportional to 8,110.13 and 12,674.81 is: 19,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.13 : 12,674.81 = 12,674.81 : x
  2. Step 2: Convert to fraction form
    8,110.13/12,674.81 = 12,674.81/x
  3. Step 3: Cross multiply
    8,110.13x = 12,674.81 × 12,674.81
  4. Step 4: Simplify right side
    8,110.13x = 160,650,871.91
  5. Step 5: Solve for x
    x = 160,650,871.91/8,110.13
  6. Step 6: Final answer
    x = 19,808.68

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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.