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Finding the Third Proportional to 8,406.28 and 12,176.93

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Solution

The third proportional to 8,406.28 and 12,176.93 is: 17,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.28 : 12,176.93 = 12,176.93 : x
  2. Step 2: Convert to fraction form
    8,406.28/12,176.93 = 12,176.93/x
  3. Step 3: Cross multiply
    8,406.28x = 12,176.93 × 12,176.93
  4. Step 4: Simplify right side
    8,406.28x = 148,277,723.64
  5. Step 5: Solve for x
    x = 148,277,723.64/8,406.28
  6. Step 6: Final answer
    x = 17,638.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.