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Finding the Third Proportional to 26,875 and 58,529

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Solution

The third proportional to 26,875 and 58,529 is: 127,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,875 : 58,529 = 58,529 : x
  2. Step 2: Convert to fraction form
    26,875/58,529 = 58,529/x
  3. Step 3: Cross multiply
    26,875x = 58,529 × 58,529
  4. Step 4: Simplify right side
    26,875x = 3,425,643,841
  5. Step 5: Solve for x
    x = 3,425,643,841/26,875
  6. Step 6: Final answer
    x = 127,465.82

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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.