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Finding the Third Proportional to 27,087 and 40,713

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Solution

The third proportional to 27,087 and 40,713 is: 61,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,087 : 40,713 = 40,713 : x
  2. Step 2: Convert to fraction form
    27,087/40,713 = 40,713/x
  3. Step 3: Cross multiply
    27,087x = 40,713 × 40,713
  4. Step 4: Simplify right side
    27,087x = 1,657,548,369
  5. Step 5: Solve for x
    x = 1,657,548,369/27,087
  6. Step 6: Final answer
    x = 61,193.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.