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Finding the Third Proportional to 26,274.38 and 53,776.41

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Solution

The third proportional to 26,274.38 and 53,776.41 is: 110,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,274.38 : 53,776.41 = 53,776.41 : x
  2. Step 2: Convert to fraction form
    26,274.38/53,776.41 = 53,776.41/x
  3. Step 3: Cross multiply
    26,274.38x = 53,776.41 × 53,776.41
  4. Step 4: Simplify right side
    26,274.38x = 2,891,901,869.17
  5. Step 5: Solve for x
    x = 2,891,901,869.17/26,274.38
  6. Step 6: Final answer
    x = 110,065.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.