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Finding the Third Proportional to 39,940 and 52,998

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Solution

The third proportional to 39,940 and 52,998 is: 70,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,940 : 52,998 = 52,998 : x
  2. Step 2: Convert to fraction form
    39,940/52,998 = 52,998/x
  3. Step 3: Cross multiply
    39,940x = 52,998 × 52,998
  4. Step 4: Simplify right side
    39,940x = 2,808,788,004
  5. Step 5: Solve for x
    x = 2,808,788,004/39,940
  6. Step 6: Final answer
    x = 70,325.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.