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Finding the Third Proportional to 25,396 and 36,580

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Solution

The third proportional to 25,396 and 36,580 is: 52,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,396 : 36,580 = 36,580 : x
  2. Step 2: Convert to fraction form
    25,396/36,580 = 36,580/x
  3. Step 3: Cross multiply
    25,396x = 36,580 × 36,580
  4. Step 4: Simplify right side
    25,396x = 1,338,096,400
  5. Step 5: Solve for x
    x = 1,338,096,400/25,396
  6. Step 6: Final answer
    x = 52,689.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.