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Finding the Third Proportional to 27,206.50 and 39,878

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Solution

The third proportional to 27,206.50 and 39,878 is: 58,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,206.50 : 39,878 = 39,878 : x
  2. Step 2: Convert to fraction form
    27,206.50/39,878 = 39,878/x
  3. Step 3: Cross multiply
    27,206.50x = 39,878 × 39,878
  4. Step 4: Simplify right side
    27,206.50x = 1,590,254,884
  5. Step 5: Solve for x
    x = 1,590,254,884/27,206.50
  6. Step 6: Final answer
    x = 58,451.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.