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Finding the Third Proportional to 8,597.81 and 11,412.56

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Solution

The third proportional to 8,597.81 and 11,412.56 is: 15,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.81 : 11,412.56 = 11,412.56 : x
  2. Step 2: Convert to fraction form
    8,597.81/11,412.56 = 11,412.56/x
  3. Step 3: Cross multiply
    8,597.81x = 11,412.56 × 11,412.56
  4. Step 4: Simplify right side
    8,597.81x = 130,246,582.82
  5. Step 5: Solve for x
    x = 130,246,582.82/8,597.81
  6. Step 6: Final answer
    x = 15,148.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.