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Finding the Third Proportional to 25,994.25 and 40,314.38

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Solution

The third proportional to 25,994.25 and 40,314.38 is: 62,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,994.25 : 40,314.38 = 40,314.38 : x
  2. Step 2: Convert to fraction form
    25,994.25/40,314.38 = 40,314.38/x
  3. Step 3: Cross multiply
    25,994.25x = 40,314.38 × 40,314.38
  4. Step 4: Simplify right side
    25,994.25x = 1,625,248,831.64
  5. Step 5: Solve for x
    x = 1,625,248,831.64/25,994.25
  6. Step 6: Final answer
    x = 62,523.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.