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Finding the Third Proportional to 35,563.78 and 76,641.19

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Solution

The third proportional to 35,563.78 and 76,641.19 is: 165,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,563.78 : 76,641.19 = 76,641.19 : x
  2. Step 2: Convert to fraction form
    35,563.78/76,641.19 = 76,641.19/x
  3. Step 3: Cross multiply
    35,563.78x = 76,641.19 × 76,641.19
  4. Step 4: Simplify right side
    35,563.78x = 5,873,871,621.41
  5. Step 5: Solve for x
    x = 5,873,871,621.41/35,563.78
  6. Step 6: Final answer
    x = 165,164.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.