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Finding the Third Proportional to 13,818.38 and 32,483.25

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Solution

The third proportional to 13,818.38 and 32,483.25 is: 76,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.38 : 32,483.25 = 32,483.25 : x
  2. Step 2: Convert to fraction form
    13,818.38/32,483.25 = 32,483.25/x
  3. Step 3: Cross multiply
    13,818.38x = 32,483.25 × 32,483.25
  4. Step 4: Simplify right side
    13,818.38x = 1,055,161,530.56
  5. Step 5: Solve for x
    x = 1,055,161,530.56/13,818.38
  6. Step 6: Final answer
    x = 76,359.31

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.