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Finding the Third Proportional to 39,172 and 57,118

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Solution

The third proportional to 39,172 and 57,118 is: 83,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,172 : 57,118 = 57,118 : x
  2. Step 2: Convert to fraction form
    39,172/57,118 = 57,118/x
  3. Step 3: Cross multiply
    39,172x = 57,118 × 57,118
  4. Step 4: Simplify right side
    39,172x = 3,262,465,924
  5. Step 5: Solve for x
    x = 3,262,465,924/39,172
  6. Step 6: Final answer
    x = 83,285.66

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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.