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Finding the Third Proportional to 25,913.50 and 40,015.75

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Solution

The third proportional to 25,913.50 and 40,015.75 is: 61,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,913.50 : 40,015.75 = 40,015.75 : x
  2. Step 2: Convert to fraction form
    25,913.50/40,015.75 = 40,015.75/x
  3. Step 3: Cross multiply
    25,913.50x = 40,015.75 × 40,015.75
  4. Step 4: Simplify right side
    25,913.50x = 1,601,260,248.06
  5. Step 5: Solve for x
    x = 1,601,260,248.06/25,913.50
  6. Step 6: Final answer
    x = 61,792.51

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Why These Related Problems?

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