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Finding the Third Proportional to 26,001.75 and 56,154.75

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Solution

The third proportional to 26,001.75 and 56,154.75 is: 121,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,001.75 : 56,154.75 = 56,154.75 : x
  2. Step 2: Convert to fraction form
    26,001.75/56,154.75 = 56,154.75/x
  3. Step 3: Cross multiply
    26,001.75x = 56,154.75 × 56,154.75
  4. Step 4: Simplify right side
    26,001.75x = 3,153,355,947.56
  5. Step 5: Solve for x
    x = 3,153,355,947.56/26,001.75
  6. Step 6: Final answer
    x = 121,274.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.