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Finding the Third Proportional to 11,703.56 and 25,591.50

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Solution

The third proportional to 11,703.56 and 25,591.50 is: 55,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.56 : 25,591.50 = 25,591.50 : x
  2. Step 2: Convert to fraction form
    11,703.56/25,591.50 = 25,591.50/x
  3. Step 3: Cross multiply
    11,703.56x = 25,591.50 × 25,591.50
  4. Step 4: Simplify right side
    11,703.56x = 654,924,872.25
  5. Step 5: Solve for x
    x = 654,924,872.25/11,703.56
  6. Step 6: Final answer
    x = 55,959.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.