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Finding the Third Proportional to 44,035 and 58,989

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Solution

The third proportional to 44,035 and 58,989 is: 79,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,035 : 58,989 = 58,989 : x
  2. Step 2: Convert to fraction form
    44,035/58,989 = 58,989/x
  3. Step 3: Cross multiply
    44,035x = 58,989 × 58,989
  4. Step 4: Simplify right side
    44,035x = 3,479,702,121
  5. Step 5: Solve for x
    x = 3,479,702,121/44,035
  6. Step 6: Final answer
    x = 79,021.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.