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Finding the Third Proportional to 25,982 and 39,160

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Solution

The third proportional to 25,982 and 39,160 is: 59,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,982 : 39,160 = 39,160 : x
  2. Step 2: Convert to fraction form
    25,982/39,160 = 39,160/x
  3. Step 3: Cross multiply
    25,982x = 39,160 × 39,160
  4. Step 4: Simplify right side
    25,982x = 1,533,505,600
  5. Step 5: Solve for x
    x = 1,533,505,600/25,982
  6. Step 6: Final answer
    x = 59,021.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.