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Finding the Third Proportional to 25,542 and 55,816

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Solution

The third proportional to 25,542 and 55,816 is: 121,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542 : 55,816 = 55,816 : x
  2. Step 2: Convert to fraction form
    25,542/55,816 = 55,816/x
  3. Step 3: Cross multiply
    25,542x = 55,816 × 55,816
  4. Step 4: Simplify right side
    25,542x = 3,115,425,856
  5. Step 5: Solve for x
    x = 3,115,425,856/25,542
  6. Step 6: Final answer
    x = 121,972.67

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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.