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Finding the Third Proportional to 40,780 and 63,025

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Solution

The third proportional to 40,780 and 63,025 is: 97,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,780 : 63,025 = 63,025 : x
  2. Step 2: Convert to fraction form
    40,780/63,025 = 63,025/x
  3. Step 3: Cross multiply
    40,780x = 63,025 × 63,025
  4. Step 4: Simplify right side
    40,780x = 3,972,150,625
  5. Step 5: Solve for x
    x = 3,972,150,625/40,780
  6. Step 6: Final answer
    x = 97,404.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.