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Finding the Third Proportional to 40,718 and 60,770

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Solution

The third proportional to 40,718 and 60,770 is: 90,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,718 : 60,770 = 60,770 : x
  2. Step 2: Convert to fraction form
    40,718/60,770 = 60,770/x
  3. Step 3: Cross multiply
    40,718x = 60,770 × 60,770
  4. Step 4: Simplify right side
    40,718x = 3,692,992,900
  5. Step 5: Solve for x
    x = 3,692,992,900/40,718
  6. Step 6: Final answer
    x = 90,696.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.