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Finding the Third Proportional to 33,075.56 and 74,863.13

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Solution

The third proportional to 33,075.56 and 74,863.13 is: 169,444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,075.56 : 74,863.13 = 74,863.13 : x
  2. Step 2: Convert to fraction form
    33,075.56/74,863.13 = 74,863.13/x
  3. Step 3: Cross multiply
    33,075.56x = 74,863.13 × 74,863.13
  4. Step 4: Simplify right side
    33,075.56x = 5,604,487,484.77
  5. Step 5: Solve for x
    x = 5,604,487,484.77/33,075.56
  6. Step 6: Final answer
    x = 169,444.96

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.