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Finding the Third Proportional to 27,298 and 59,726

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Solution

The third proportional to 27,298 and 59,726 is: 130,676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,298 : 59,726 = 59,726 : x
  2. Step 2: Convert to fraction form
    27,298/59,726 = 59,726/x
  3. Step 3: Cross multiply
    27,298x = 59,726 × 59,726
  4. Step 4: Simplify right side
    27,298x = 3,567,195,076
  5. Step 5: Solve for x
    x = 3,567,195,076/27,298
  6. Step 6: Final answer
    x = 130,676.06

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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.