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Finding the Third Proportional to 8,597.81 and 18,835.31

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Solution

The third proportional to 8,597.81 and 18,835.31 is: 41,262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.81 : 18,835.31 = 18,835.31 : x
  2. Step 2: Convert to fraction form
    8,597.81/18,835.31 = 18,835.31/x
  3. Step 3: Cross multiply
    8,597.81x = 18,835.31 × 18,835.31
  4. Step 4: Simplify right side
    8,597.81x = 354,768,996.97
  5. Step 5: Solve for x
    x = 354,768,996.97/8,597.81
  6. Step 6: Final answer
    x = 41,262.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.