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Finding the Third Proportional to 23,338.13 and 32,131.69

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Solution

The third proportional to 23,338.13 and 32,131.69 is: 44,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,338.13 : 32,131.69 = 32,131.69 : x
  2. Step 2: Convert to fraction form
    23,338.13/32,131.69 = 32,131.69/x
  3. Step 3: Cross multiply
    23,338.13x = 32,131.69 × 32,131.69
  4. Step 4: Simplify right side
    23,338.13x = 1,032,445,341.60
  5. Step 5: Solve for x
    x = 1,032,445,341.60/23,338.13
  6. Step 6: Final answer
    x = 44,238.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.