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Finding the Third Proportional to 24,689.25 and 35,280.75

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Solution

The third proportional to 24,689.25 and 35,280.75 is: 50,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,689.25 : 35,280.75 = 35,280.75 : x
  2. Step 2: Convert to fraction form
    24,689.25/35,280.75 = 35,280.75/x
  3. Step 3: Cross multiply
    24,689.25x = 35,280.75 × 35,280.75
  4. Step 4: Simplify right side
    24,689.25x = 1,244,731,320.56
  5. Step 5: Solve for x
    x = 1,244,731,320.56/24,689.25
  6. Step 6: Final answer
    x = 50,415.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.