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Finding the Third Proportional to 25,874.44 and 48,057.75

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Solution

The third proportional to 25,874.44 and 48,057.75 is: 89,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874.44 : 48,057.75 = 48,057.75 : x
  2. Step 2: Convert to fraction form
    25,874.44/48,057.75 = 48,057.75/x
  3. Step 3: Cross multiply
    25,874.44x = 48,057.75 × 48,057.75
  4. Step 4: Simplify right side
    25,874.44x = 2,309,547,335.06
  5. Step 5: Solve for x
    x = 2,309,547,335.06/25,874.44
  6. Step 6: Final answer
    x = 89,259.81

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.