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Finding the Third Proportional to 27,095.50 and 59,091.50

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Solution

The third proportional to 27,095.50 and 59,091.50 is: 128,870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,095.50 : 59,091.50 = 59,091.50 : x
  2. Step 2: Convert to fraction form
    27,095.50/59,091.50 = 59,091.50/x
  3. Step 3: Cross multiply
    27,095.50x = 59,091.50 × 59,091.50
  4. Step 4: Simplify right side
    27,095.50x = 3,491,805,372.25
  5. Step 5: Solve for x
    x = 3,491,805,372.25/27,095.50
  6. Step 6: Final answer
    x = 128,870.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.