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Finding the Third Proportional to 27,710 and 60,606

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Solution

The third proportional to 27,710 and 60,606 is: 132,554.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710 : 60,606 = 60,606 : x
  2. Step 2: Convert to fraction form
    27,710/60,606 = 60,606/x
  3. Step 3: Cross multiply
    27,710x = 60,606 × 60,606
  4. Step 4: Simplify right side
    27,710x = 3,673,087,236
  5. Step 5: Solve for x
    x = 3,673,087,236/27,710
  6. Step 6: Final answer
    x = 132,554.57

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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.