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Finding the Third Proportional to 25,202 and 54,820

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Solution

The third proportional to 25,202 and 54,820 is: 119,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,202 : 54,820 = 54,820 : x
  2. Step 2: Convert to fraction form
    25,202/54,820 = 54,820/x
  3. Step 3: Cross multiply
    25,202x = 54,820 × 54,820
  4. Step 4: Simplify right side
    25,202x = 3,005,232,400
  5. Step 5: Solve for x
    x = 3,005,232,400/25,202
  6. Step 6: Final answer
    x = 119,245.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.