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Finding the Third Proportional to 25,370 and 39,015

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Solution

The third proportional to 25,370 and 39,015 is: 59,998.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,370 : 39,015 = 39,015 : x
  2. Step 2: Convert to fraction form
    25,370/39,015 = 39,015/x
  3. Step 3: Cross multiply
    25,370x = 39,015 × 39,015
  4. Step 4: Simplify right side
    25,370x = 1,522,170,225
  5. Step 5: Solve for x
    x = 1,522,170,225/25,370
  6. Step 6: Final answer
    x = 59,998.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.