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Finding the Third Proportional to 40,214 and 62,619

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Solution

The third proportional to 40,214 and 62,619 is: 97,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,214 : 62,619 = 62,619 : x
  2. Step 2: Convert to fraction form
    40,214/62,619 = 62,619/x
  3. Step 3: Cross multiply
    40,214x = 62,619 × 62,619
  4. Step 4: Simplify right side
    40,214x = 3,921,139,161
  5. Step 5: Solve for x
    x = 3,921,139,161/40,214
  6. Step 6: Final answer
    x = 97,506.82

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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.