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Finding the Third Proportional to 39,216 and 59,187

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Solution

The third proportional to 39,216 and 59,187 is: 89,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,216 : 59,187 = 59,187 : x
  2. Step 2: Convert to fraction form
    39,216/59,187 = 59,187/x
  3. Step 3: Cross multiply
    39,216x = 59,187 × 59,187
  4. Step 4: Simplify right side
    39,216x = 3,503,100,969
  5. Step 5: Solve for x
    x = 3,503,100,969/39,216
  6. Step 6: Final answer
    x = 89,328.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.