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Finding the Third Proportional to 32,600.53 and 75,475.69

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Solution

The third proportional to 32,600.53 and 75,475.69 is: 174,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,600.53 : 75,475.69 = 75,475.69 : x
  2. Step 2: Convert to fraction form
    32,600.53/75,475.69 = 75,475.69/x
  3. Step 3: Cross multiply
    32,600.53x = 75,475.69 × 75,475.69
  4. Step 4: Simplify right side
    32,600.53x = 5,696,579,403.60
  5. Step 5: Solve for x
    x = 5,696,579,403.60/32,600.53
  6. Step 6: Final answer
    x = 174,738.85

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.