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Finding the Third Proportional to 25,161.89 and 57,374.58

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Solution

The third proportional to 25,161.89 and 57,374.58 is: 130,826.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,161.89 : 57,374.58 = 57,374.58 : x
  2. Step 2: Convert to fraction form
    25,161.89/57,374.58 = 57,374.58/x
  3. Step 3: Cross multiply
    25,161.89x = 57,374.58 × 57,374.58
  4. Step 4: Simplify right side
    25,161.89x = 3,291,842,215.02
  5. Step 5: Solve for x
    x = 3,291,842,215.02/25,161.89
  6. Step 6: Final answer
    x = 130,826.51

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.