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Finding the Third Proportional to 31,962.09 and 47,943.14

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Solution

The third proportional to 31,962.09 and 47,943.14 is: 71,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,962.09 : 47,943.14 = 47,943.14 : x
  2. Step 2: Convert to fraction form
    31,962.09/47,943.14 = 47,943.14/x
  3. Step 3: Cross multiply
    31,962.09x = 47,943.14 × 47,943.14
  4. Step 4: Simplify right side
    31,962.09x = 2,298,544,732.99
  5. Step 5: Solve for x
    x = 2,298,544,732.99/31,962.09
  6. Step 6: Final answer
    x = 71,914.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.