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Finding the Third Proportional to 39,333.50 and 58,989

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Solution

The third proportional to 39,333.50 and 58,989 is: 88,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,333.50 : 58,989 = 58,989 : x
  2. Step 2: Convert to fraction form
    39,333.50/58,989 = 58,989/x
  3. Step 3: Cross multiply
    39,333.50x = 58,989 × 58,989
  4. Step 4: Simplify right side
    39,333.50x = 3,479,702,121
  5. Step 5: Solve for x
    x = 3,479,702,121/39,333.50
  6. Step 6: Final answer
    x = 88,466.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.