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Finding the Third Proportional to 32,752.13 and 51,945.19

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Solution

The third proportional to 32,752.13 and 51,945.19 is: 82,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,752.13 : 51,945.19 = 51,945.19 : x
  2. Step 2: Convert to fraction form
    32,752.13/51,945.19 = 51,945.19/x
  3. Step 3: Cross multiply
    32,752.13x = 51,945.19 × 51,945.19
  4. Step 4: Simplify right side
    32,752.13x = 2,698,302,504.41
  5. Step 5: Solve for x
    x = 2,698,302,504.41/32,752.13
  6. Step 6: Final answer
    x = 82,385.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.