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Finding the Third Proportional to 57,032.86 and 75,656.53

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Solution

The third proportional to 57,032.86 and 75,656.53 is: 100,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,032.86 : 75,656.53 = 75,656.53 : x
  2. Step 2: Convert to fraction form
    57,032.86/75,656.53 = 75,656.53/x
  3. Step 3: Cross multiply
    57,032.86x = 75,656.53 × 75,656.53
  4. Step 4: Simplify right side
    57,032.86x = 5,723,910,720.78
  5. Step 5: Solve for x
    x = 5,723,910,720.78/57,032.86
  6. Step 6: Final answer
    x = 100,361.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.