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Finding the Third Proportional to 25,742 and 40,348

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Solution

The third proportional to 25,742 and 40,348 is: 63,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,742 : 40,348 = 40,348 : x
  2. Step 2: Convert to fraction form
    25,742/40,348 = 40,348/x
  3. Step 3: Cross multiply
    25,742x = 40,348 × 40,348
  4. Step 4: Simplify right side
    25,742x = 1,627,961,104
  5. Step 5: Solve for x
    x = 1,627,961,104/25,742
  6. Step 6: Final answer
    x = 63,241.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.