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Finding the Third Proportional to 27,054 and 59,029

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Solution

The third proportional to 27,054 and 59,029 is: 128,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,054 : 59,029 = 59,029 : x
  2. Step 2: Convert to fraction form
    27,054/59,029 = 59,029/x
  3. Step 3: Cross multiply
    27,054x = 59,029 × 59,029
  4. Step 4: Simplify right side
    27,054x = 3,484,422,841
  5. Step 5: Solve for x
    x = 3,484,422,841/27,054
  6. Step 6: Final answer
    x = 128,795.11

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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.