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Finding the Third Proportional to 40,038 and 62,807

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Solution

The third proportional to 40,038 and 62,807 is: 98,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,038 : 62,807 = 62,807 : x
  2. Step 2: Convert to fraction form
    40,038/62,807 = 62,807/x
  3. Step 3: Cross multiply
    40,038x = 62,807 × 62,807
  4. Step 4: Simplify right side
    40,038x = 3,944,719,249
  5. Step 5: Solve for x
    x = 3,944,719,249/40,038
  6. Step 6: Final answer
    x = 98,524.38

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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.