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Finding the Third Proportional to 26,710 and 57,703

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Solution

The third proportional to 26,710 and 57,703 is: 124,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,710 : 57,703 = 57,703 : x
  2. Step 2: Convert to fraction form
    26,710/57,703 = 57,703/x
  3. Step 3: Cross multiply
    26,710x = 57,703 × 57,703
  4. Step 4: Simplify right side
    26,710x = 3,329,636,209
  5. Step 5: Solve for x
    x = 3,329,636,209/26,710
  6. Step 6: Final answer
    x = 124,658.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.