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Finding the Third Proportional to 27,710 and 60,118

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Solution

The third proportional to 27,710 and 60,118 is: 130,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710 : 60,118 = 60,118 : x
  2. Step 2: Convert to fraction form
    27,710/60,118 = 60,118/x
  3. Step 3: Cross multiply
    27,710x = 60,118 × 60,118
  4. Step 4: Simplify right side
    27,710x = 3,614,173,924
  5. Step 5: Solve for x
    x = 3,614,173,924/27,710
  6. Step 6: Final answer
    x = 130,428.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.