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Finding the Third Proportional to 40,228 and 86,590

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Solution

The third proportional to 40,228 and 86,590 is: 186,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,228 : 86,590 = 86,590 : x
  2. Step 2: Convert to fraction form
    40,228/86,590 = 86,590/x
  3. Step 3: Cross multiply
    40,228x = 86,590 × 86,590
  4. Step 4: Simplify right side
    40,228x = 7,497,828,100
  5. Step 5: Solve for x
    x = 7,497,828,100/40,228
  6. Step 6: Final answer
    x = 186,383.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.