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Finding the Third Proportional to 8,263.64 and 18,167.53

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Solution

The third proportional to 8,263.64 and 18,167.53 is: 39,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.64 : 18,167.53 = 18,167.53 : x
  2. Step 2: Convert to fraction form
    8,263.64/18,167.53 = 18,167.53/x
  3. Step 3: Cross multiply
    8,263.64x = 18,167.53 × 18,167.53
  4. Step 4: Simplify right side
    8,263.64x = 330,059,191.72
  5. Step 5: Solve for x
    x = 330,059,191.72/8,263.64
  6. Step 6: Final answer
    x = 39,941.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.