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Finding the Third Proportional to 26,820 and 58,716

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Solution

The third proportional to 26,820 and 58,716 is: 128,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,820 : 58,716 = 58,716 : x
  2. Step 2: Convert to fraction form
    26,820/58,716 = 58,716/x
  3. Step 3: Cross multiply
    26,820x = 58,716 × 58,716
  4. Step 4: Simplify right side
    26,820x = 3,447,568,656
  5. Step 5: Solve for x
    x = 3,447,568,656/26,820
  6. Step 6: Final answer
    x = 128,544.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.