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Finding the Third Proportional to 35,821.25 and 74,549.50

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Solution

The third proportional to 35,821.25 and 74,549.50 is: 155,148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,821.25 : 74,549.50 = 74,549.50 : x
  2. Step 2: Convert to fraction form
    35,821.25/74,549.50 = 74,549.50/x
  3. Step 3: Cross multiply
    35,821.25x = 74,549.50 × 74,549.50
  4. Step 4: Simplify right side
    35,821.25x = 5,557,627,950.25
  5. Step 5: Solve for x
    x = 5,557,627,950.25/35,821.25
  6. Step 6: Final answer
    x = 155,148.91

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.