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Finding the Third Proportional to 30,709.13 and 40,767.05

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Solution

The third proportional to 30,709.13 and 40,767.05 is: 54,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.13 : 40,767.05 = 40,767.05 : x
  2. Step 2: Convert to fraction form
    30,709.13/40,767.05 = 40,767.05/x
  3. Step 3: Cross multiply
    30,709.13x = 40,767.05 × 40,767.05
  4. Step 4: Simplify right side
    30,709.13x = 1,661,952,110.91
  5. Step 5: Solve for x
    x = 1,661,952,110.91/30,709.13
  6. Step 6: Final answer
    x = 54,119.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.