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Finding the Third Proportional to 32,342.06 and 44,535.66

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Solution

The third proportional to 32,342.06 and 44,535.66 is: 61,326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,342.06 : 44,535.66 = 44,535.66 : x
  2. Step 2: Convert to fraction form
    32,342.06/44,535.66 = 44,535.66/x
  3. Step 3: Cross multiply
    32,342.06x = 44,535.66 × 44,535.66
  4. Step 4: Simplify right side
    32,342.06x = 1,983,424,677.62
  5. Step 5: Solve for x
    x = 1,983,424,677.62/32,342.06
  6. Step 6: Final answer
    x = 61,326.47

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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.