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Finding the Third Proportional to 25,374 and 36,065

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Solution

The third proportional to 25,374 and 36,065 is: 51,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,374 : 36,065 = 36,065 : x
  2. Step 2: Convert to fraction form
    25,374/36,065 = 36,065/x
  3. Step 3: Cross multiply
    25,374x = 36,065 × 36,065
  4. Step 4: Simplify right side
    25,374x = 1,300,684,225
  5. Step 5: Solve for x
    x = 1,300,684,225/25,374
  6. Step 6: Final answer
    x = 51,260.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.