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Finding the Third Proportional to 48,471.75 and 74,479.50

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Solution

The third proportional to 48,471.75 and 74,479.50 is: 114,441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,471.75 : 74,479.50 = 74,479.50 : x
  2. Step 2: Convert to fraction form
    48,471.75/74,479.50 = 74,479.50/x
  3. Step 3: Cross multiply
    48,471.75x = 74,479.50 × 74,479.50
  4. Step 4: Simplify right side
    48,471.75x = 5,547,195,920.25
  5. Step 5: Solve for x
    x = 5,547,195,920.25/48,471.75
  6. Step 6: Final answer
    x = 114,441.83

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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.