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Finding the Third Proportional to 27,952.50 and 41,037.75

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Solution

The third proportional to 27,952.50 and 41,037.75 is: 60,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.50 : 41,037.75 = 41,037.75 : x
  2. Step 2: Convert to fraction form
    27,952.50/41,037.75 = 41,037.75/x
  3. Step 3: Cross multiply
    27,952.50x = 41,037.75 × 41,037.75
  4. Step 4: Simplify right side
    27,952.50x = 1,684,096,925.06
  5. Step 5: Solve for x
    x = 1,684,096,925.06/27,952.50
  6. Step 6: Final answer
    x = 60,248.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.