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Finding the Third Proportional to 40,710 and 63,027

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Solution

The third proportional to 40,710 and 63,027 is: 97,578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,710 : 63,027 = 63,027 : x
  2. Step 2: Convert to fraction form
    40,710/63,027 = 63,027/x
  3. Step 3: Cross multiply
    40,710x = 63,027 × 63,027
  4. Step 4: Simplify right side
    40,710x = 3,972,402,729
  5. Step 5: Solve for x
    x = 3,972,402,729/40,710
  6. Step 6: Final answer
    x = 97,578.06

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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.