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Finding the Third Proportional to 40,078 and 62,543

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Solution

The third proportional to 40,078 and 62,543 is: 97,600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,078 : 62,543 = 62,543 : x
  2. Step 2: Convert to fraction form
    40,078/62,543 = 62,543/x
  3. Step 3: Cross multiply
    40,078x = 62,543 × 62,543
  4. Step 4: Simplify right side
    40,078x = 3,911,626,849
  5. Step 5: Solve for x
    x = 3,911,626,849/40,078
  6. Step 6: Final answer
    x = 97,600.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.