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Finding the Third Proportional to 40,979.25 and 64,324.13

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Solution

The third proportional to 40,979.25 and 64,324.13 is: 100,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,979.25 : 64,324.13 = 64,324.13 : x
  2. Step 2: Convert to fraction form
    40,979.25/64,324.13 = 64,324.13/x
  3. Step 3: Cross multiply
    40,979.25x = 64,324.13 × 64,324.13
  4. Step 4: Simplify right side
    40,979.25x = 4,137,593,057.02
  5. Step 5: Solve for x
    x = 4,137,593,057.02/40,979.25
  6. Step 6: Final answer
    x = 100,968.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.