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Finding the Third Proportional to 26,919.84 and 37,723.22

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Solution

The third proportional to 26,919.84 and 37,723.22 is: 52,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,919.84 : 37,723.22 = 37,723.22 : x
  2. Step 2: Convert to fraction form
    26,919.84/37,723.22 = 37,723.22/x
  3. Step 3: Cross multiply
    26,919.84x = 37,723.22 × 37,723.22
  4. Step 4: Simplify right side
    26,919.84x = 1,423,041,232.86
  5. Step 5: Solve for x
    x = 1,423,041,232.86/26,919.84
  6. Step 6: Final answer
    x = 52,862.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.