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Finding the Third Proportional to 25,742 and 38,889

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Solution

The third proportional to 25,742 and 38,889 is: 58,750.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,742 : 38,889 = 38,889 : x
  2. Step 2: Convert to fraction form
    25,742/38,889 = 38,889/x
  3. Step 3: Cross multiply
    25,742x = 38,889 × 38,889
  4. Step 4: Simplify right side
    25,742x = 1,512,354,321
  5. Step 5: Solve for x
    x = 1,512,354,321/25,742
  6. Step 6: Final answer
    x = 58,750.46

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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.