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Finding the Third Proportional to 36,703 and 52,989

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Solution

The third proportional to 36,703 and 52,989 is: 76,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,703 : 52,989 = 52,989 : x
  2. Step 2: Convert to fraction form
    36,703/52,989 = 52,989/x
  3. Step 3: Cross multiply
    36,703x = 52,989 × 52,989
  4. Step 4: Simplify right side
    36,703x = 2,807,834,121
  5. Step 5: Solve for x
    x = 2,807,834,121/36,703
  6. Step 6: Final answer
    x = 76,501.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.