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Finding the Third Proportional to 39,013 and 53,314

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Solution

The third proportional to 39,013 and 53,314 is: 72,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,013 : 53,314 = 53,314 : x
  2. Step 2: Convert to fraction form
    39,013/53,314 = 53,314/x
  3. Step 3: Cross multiply
    39,013x = 53,314 × 53,314
  4. Step 4: Simplify right side
    39,013x = 2,842,382,596
  5. Step 5: Solve for x
    x = 2,842,382,596/39,013
  6. Step 6: Final answer
    x = 72,857.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.