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Finding the Third Proportional to 52,404.75 and 83,037.38

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Solution

The third proportional to 52,404.75 and 83,037.38 is: 131,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,404.75 : 83,037.38 = 83,037.38 : x
  2. Step 2: Convert to fraction form
    52,404.75/83,037.38 = 83,037.38/x
  3. Step 3: Cross multiply
    52,404.75x = 83,037.38 × 83,037.38
  4. Step 4: Simplify right side
    52,404.75x = 6,895,205,646.89
  5. Step 5: Solve for x
    x = 6,895,205,646.89/52,404.75
  6. Step 6: Final answer
    x = 131,575.97

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