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Finding the Third Proportional to 25,392.25 and 58,775

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Solution

The third proportional to 25,392.25 and 58,775 is: 136,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,392.25 : 58,775 = 58,775 : x
  2. Step 2: Convert to fraction form
    25,392.25/58,775 = 58,775/x
  3. Step 3: Cross multiply
    25,392.25x = 58,775 × 58,775
  4. Step 4: Simplify right side
    25,392.25x = 3,454,500,625
  5. Step 5: Solve for x
    x = 3,454,500,625/25,392.25
  6. Step 6: Final answer
    x = 136,045.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.