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Finding the Third Proportional to 26,703 and 41,513

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Solution

The third proportional to 26,703 and 41,513 is: 64,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,703 : 41,513 = 41,513 : x
  2. Step 2: Convert to fraction form
    26,703/41,513 = 41,513/x
  3. Step 3: Cross multiply
    26,703x = 41,513 × 41,513
  4. Step 4: Simplify right side
    26,703x = 1,723,329,169
  5. Step 5: Solve for x
    x = 1,723,329,169/26,703
  6. Step 6: Final answer
    x = 64,536.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.