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Finding the Third Proportional to 25,363.13 and 61,015.78

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Solution

The third proportional to 25,363.13 and 61,015.78 is: 146,784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,363.13 : 61,015.78 = 61,015.78 : x
  2. Step 2: Convert to fraction form
    25,363.13/61,015.78 = 61,015.78/x
  3. Step 3: Cross multiply
    25,363.13x = 61,015.78 × 61,015.78
  4. Step 4: Simplify right side
    25,363.13x = 3,722,925,561.55
  5. Step 5: Solve for x
    x = 3,722,925,561.55/25,363.13
  6. Step 6: Final answer
    x = 146,784.97

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.