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Finding the Third Proportional to 18,924 and 40,770

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Solution

The third proportional to 18,924 and 40,770 is: 87,835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,924 : 40,770 = 40,770 : x
  2. Step 2: Convert to fraction form
    18,924/40,770 = 40,770/x
  3. Step 3: Cross multiply
    18,924x = 40,770 × 40,770
  4. Step 4: Simplify right side
    18,924x = 1,662,192,900
  5. Step 5: Solve for x
    x = 1,662,192,900/18,924
  6. Step 6: Final answer
    x = 87,835.18

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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.