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Finding the Third Proportional to 8,230.59 and 17,777.34

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Solution

The third proportional to 8,230.59 and 17,777.34 is: 38,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.59 : 17,777.34 = 17,777.34 : x
  2. Step 2: Convert to fraction form
    8,230.59/17,777.34 = 17,777.34/x
  3. Step 3: Cross multiply
    8,230.59x = 17,777.34 × 17,777.34
  4. Step 4: Simplify right side
    8,230.59x = 316,033,950.81
  5. Step 5: Solve for x
    x = 316,033,950.81/8,230.59
  6. Step 6: Final answer
    x = 38,397.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.