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Finding the Third Proportional to 26,944 and 58,784

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Solution

The third proportional to 26,944 and 58,784 is: 128,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,944 : 58,784 = 58,784 : x
  2. Step 2: Convert to fraction form
    26,944/58,784 = 58,784/x
  3. Step 3: Cross multiply
    26,944x = 58,784 × 58,784
  4. Step 4: Simplify right side
    26,944x = 3,455,558,656
  5. Step 5: Solve for x
    x = 3,455,558,656/26,944
  6. Step 6: Final answer
    x = 128,249.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.