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Finding the Third Proportional to 25,026 and 54,694.50

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Solution

The third proportional to 25,026 and 54,694.50 is: 119,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,026 : 54,694.50 = 54,694.50 : x
  2. Step 2: Convert to fraction form
    25,026/54,694.50 = 54,694.50/x
  3. Step 3: Cross multiply
    25,026x = 54,694.50 × 54,694.50
  4. Step 4: Simplify right side
    25,026x = 2,991,488,330.25
  5. Step 5: Solve for x
    x = 2,991,488,330.25/25,026
  6. Step 6: Final answer
    x = 119,535.22

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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.