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Finding the Third Proportional to 27,073.41 and 59,378.06

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Solution

The third proportional to 27,073.41 and 59,378.06 is: 130,229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,073.41 : 59,378.06 = 59,378.06 : x
  2. Step 2: Convert to fraction form
    27,073.41/59,378.06 = 59,378.06/x
  3. Step 3: Cross multiply
    27,073.41x = 59,378.06 × 59,378.06
  4. Step 4: Simplify right side
    27,073.41x = 3,525,754,306.25
  5. Step 5: Solve for x
    x = 3,525,754,306.25/27,073.41
  6. Step 6: Final answer
    x = 130,229.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.