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Finding the Third Proportional to 25,840 and 38,588

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Solution

The third proportional to 25,840 and 38,588 is: 57,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,840 : 38,588 = 38,588 : x
  2. Step 2: Convert to fraction form
    25,840/38,588 = 38,588/x
  3. Step 3: Cross multiply
    25,840x = 38,588 × 38,588
  4. Step 4: Simplify right side
    25,840x = 1,489,033,744
  5. Step 5: Solve for x
    x = 1,489,033,744/25,840
  6. Step 6: Final answer
    x = 57,625.14

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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.