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Finding the Third Proportional to 39,114 and 57,261

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Solution

The third proportional to 39,114 and 57,261 is: 83,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,114 : 57,261 = 57,261 : x
  2. Step 2: Convert to fraction form
    39,114/57,261 = 57,261/x
  3. Step 3: Cross multiply
    39,114x = 57,261 × 57,261
  4. Step 4: Simplify right side
    39,114x = 3,278,822,121
  5. Step 5: Solve for x
    x = 3,278,822,121/39,114
  6. Step 6: Final answer
    x = 83,827.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.