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Finding the Third Proportional to 19,159 and 40,636

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Solution

The third proportional to 19,159 and 40,636 is: 86,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,159 : 40,636 = 40,636 : x
  2. Step 2: Convert to fraction form
    19,159/40,636 = 40,636/x
  3. Step 3: Cross multiply
    19,159x = 40,636 × 40,636
  4. Step 4: Simplify right side
    19,159x = 1,651,284,496
  5. Step 5: Solve for x
    x = 1,651,284,496/19,159
  6. Step 6: Final answer
    x = 86,188.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.