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Finding the Third Proportional to 8,765.67 and 19,017.47

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Solution

The third proportional to 8,765.67 and 19,017.47 is: 41,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.67 : 19,017.47 = 19,017.47 : x
  2. Step 2: Convert to fraction form
    8,765.67/19,017.47 = 19,017.47/x
  3. Step 3: Cross multiply
    8,765.67x = 19,017.47 × 19,017.47
  4. Step 4: Simplify right side
    8,765.67x = 361,664,117.66
  5. Step 5: Solve for x
    x = 361,664,117.66/8,765.67
  6. Step 6: Final answer
    x = 41,259.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.