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Finding the Third Proportional to 39,788 and 53,846

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Solution

The third proportional to 39,788 and 53,846 is: 72,871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,788 : 53,846 = 53,846 : x
  2. Step 2: Convert to fraction form
    39,788/53,846 = 53,846/x
  3. Step 3: Cross multiply
    39,788x = 53,846 × 53,846
  4. Step 4: Simplify right side
    39,788x = 2,899,391,716
  5. Step 5: Solve for x
    x = 2,899,391,716/39,788
  6. Step 6: Final answer
    x = 72,871.01

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.