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Finding the Third Proportional to 33,075.84 and 49,688.28

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Solution

The third proportional to 33,075.84 and 49,688.28 is: 74,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,075.84 : 49,688.28 = 49,688.28 : x
  2. Step 2: Convert to fraction form
    33,075.84/49,688.28 = 49,688.28/x
  3. Step 3: Cross multiply
    33,075.84x = 49,688.28 × 49,688.28
  4. Step 4: Simplify right side
    33,075.84x = 2,468,925,099.48
  5. Step 5: Solve for x
    x = 2,468,925,099.48/33,075.84
  6. Step 6: Final answer
    x = 74,644.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.