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Finding the Third Proportional to 12,094.31 and 25,828.88

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Solution

The third proportional to 12,094.31 and 25,828.88 is: 55,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.31 : 25,828.88 = 25,828.88 : x
  2. Step 2: Convert to fraction form
    12,094.31/25,828.88 = 25,828.88/x
  3. Step 3: Cross multiply
    12,094.31x = 25,828.88 × 25,828.88
  4. Step 4: Simplify right side
    12,094.31x = 667,130,783.77
  5. Step 5: Solve for x
    x = 667,130,783.77/12,094.31
  6. Step 6: Final answer
    x = 55,160.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.