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Finding the Third Proportional to 39,017 and 55,758

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Solution

The third proportional to 39,017 and 55,758 is: 79,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,017 : 55,758 = 55,758 : x
  2. Step 2: Convert to fraction form
    39,017/55,758 = 55,758/x
  3. Step 3: Cross multiply
    39,017x = 55,758 × 55,758
  4. Step 4: Simplify right side
    39,017x = 3,108,954,564
  5. Step 5: Solve for x
    x = 3,108,954,564/39,017
  6. Step 6: Final answer
    x = 79,682.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.