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Finding the Third Proportional to 25,582 and 54,202

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Solution

The third proportional to 25,582 and 54,202 is: 114,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,582 : 54,202 = 54,202 : x
  2. Step 2: Convert to fraction form
    25,582/54,202 = 54,202/x
  3. Step 3: Cross multiply
    25,582x = 54,202 × 54,202
  4. Step 4: Simplify right side
    25,582x = 2,937,856,804
  5. Step 5: Solve for x
    x = 2,937,856,804/25,582
  6. Step 6: Final answer
    x = 114,840.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.