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Finding the Third Proportional to 33,307.50 and 49,452.75

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Solution

The third proportional to 33,307.50 and 49,452.75 is: 73,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,307.50 : 49,452.75 = 49,452.75 : x
  2. Step 2: Convert to fraction form
    33,307.50/49,452.75 = 49,452.75/x
  3. Step 3: Cross multiply
    33,307.50x = 49,452.75 × 49,452.75
  4. Step 4: Simplify right side
    33,307.50x = 2,445,574,482.56
  5. Step 5: Solve for x
    x = 2,445,574,482.56/33,307.50
  6. Step 6: Final answer
    x = 73,424.14

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.