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Finding the Third Proportional to 19,867 and 43,527

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Solution

The third proportional to 19,867 and 43,527 is: 95,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,867 : 43,527 = 43,527 : x
  2. Step 2: Convert to fraction form
    19,867/43,527 = 43,527/x
  3. Step 3: Cross multiply
    19,867x = 43,527 × 43,527
  4. Step 4: Simplify right side
    19,867x = 1,894,599,729
  5. Step 5: Solve for x
    x = 1,894,599,729/19,867
  6. Step 6: Final answer
    x = 95,364.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.