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Finding the Third Proportional to 8,246.81 and 12,666.38

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Solution

The third proportional to 8,246.81 and 12,666.38 is: 19,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.81 : 12,666.38 = 12,666.38 : x
  2. Step 2: Convert to fraction form
    8,246.81/12,666.38 = 12,666.38/x
  3. Step 3: Cross multiply
    8,246.81x = 12,666.38 × 12,666.38
  4. Step 4: Simplify right side
    8,246.81x = 160,437,055.64
  5. Step 5: Solve for x
    x = 160,437,055.64/8,246.81
  6. Step 6: Final answer
    x = 19,454.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.