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Finding the Third Proportional to 37,482.75 and 57,864.38

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Solution

The third proportional to 37,482.75 and 57,864.38 is: 89,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,482.75 : 57,864.38 = 57,864.38 : x
  2. Step 2: Convert to fraction form
    37,482.75/57,864.38 = 57,864.38/x
  3. Step 3: Cross multiply
    37,482.75x = 57,864.38 × 57,864.38
  4. Step 4: Simplify right side
    37,482.75x = 3,348,285,894.14
  5. Step 5: Solve for x
    x = 3,348,285,894.14/37,482.75
  6. Step 6: Final answer
    x = 89,328.72

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.