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Finding the Third Proportional to 36,420 and 56,230

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Solution

The third proportional to 36,420 and 56,230 is: 86,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,420 : 56,230 = 56,230 : x
  2. Step 2: Convert to fraction form
    36,420/56,230 = 56,230/x
  3. Step 3: Cross multiply
    36,420x = 56,230 × 56,230
  4. Step 4: Simplify right side
    36,420x = 3,161,812,900
  5. Step 5: Solve for x
    x = 3,161,812,900/36,420
  6. Step 6: Final answer
    x = 86,815.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.