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Finding the Third Proportional to 19,736 and 40,875

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Solution

The third proportional to 19,736 and 40,875 is: 84,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,736 : 40,875 = 40,875 : x
  2. Step 2: Convert to fraction form
    19,736/40,875 = 40,875/x
  3. Step 3: Cross multiply
    19,736x = 40,875 × 40,875
  4. Step 4: Simplify right side
    19,736x = 1,670,765,625
  5. Step 5: Solve for x
    x = 1,670,765,625/19,736
  6. Step 6: Final answer
    x = 84,655.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.