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Finding the Third Proportional to 25,836 and 38,582

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Solution

The third proportional to 25,836 and 38,582 is: 57,616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,836 : 38,582 = 38,582 : x
  2. Step 2: Convert to fraction form
    25,836/38,582 = 38,582/x
  3. Step 3: Cross multiply
    25,836x = 38,582 × 38,582
  4. Step 4: Simplify right side
    25,836x = 1,488,570,724
  5. Step 5: Solve for x
    x = 1,488,570,724/25,836
  6. Step 6: Final answer
    x = 57,616.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.