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Finding the Third Proportional to 8,164.97 and 12,566.81

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Solution

The third proportional to 8,164.97 and 12,566.81 is: 19,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.97 : 12,566.81 = 12,566.81 : x
  2. Step 2: Convert to fraction form
    8,164.97/12,566.81 = 12,566.81/x
  3. Step 3: Cross multiply
    8,164.97x = 12,566.81 × 12,566.81
  4. Step 4: Simplify right side
    8,164.97x = 157,924,776.41
  5. Step 5: Solve for x
    x = 157,924,776.41/8,164.97
  6. Step 6: Final answer
    x = 19,341.75

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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.