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Finding the Third Proportional to 32,837.13 and 52,004.75

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Solution

The third proportional to 32,837.13 and 52,004.75 is: 82,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,837.13 : 52,004.75 = 52,004.75 : x
  2. Step 2: Convert to fraction form
    32,837.13/52,004.75 = 52,004.75/x
  3. Step 3: Cross multiply
    32,837.13x = 52,004.75 × 52,004.75
  4. Step 4: Simplify right side
    32,837.13x = 2,704,494,022.56
  5. Step 5: Solve for x
    x = 2,704,494,022.56/32,837.13
  6. Step 6: Final answer
    x = 82,360.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.