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Finding the Third Proportional to 25,398.75 and 58,413

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Solution

The third proportional to 25,398.75 and 58,413 is: 134,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,398.75 : 58,413 = 58,413 : x
  2. Step 2: Convert to fraction form
    25,398.75/58,413 = 58,413/x
  3. Step 3: Cross multiply
    25,398.75x = 58,413 × 58,413
  4. Step 4: Simplify right side
    25,398.75x = 3,412,078,569
  5. Step 5: Solve for x
    x = 3,412,078,569/25,398.75
  6. Step 6: Final answer
    x = 134,340.41

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.