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Finding the Third Proportional to 7,577.25 and 16,360.50

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Solution

The third proportional to 7,577.25 and 16,360.50 is: 35,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.25 : 16,360.50 = 16,360.50 : x
  2. Step 2: Convert to fraction form
    7,577.25/16,360.50 = 16,360.50/x
  3. Step 3: Cross multiply
    7,577.25x = 16,360.50 × 16,360.50
  4. Step 4: Simplify right side
    7,577.25x = 267,665,960.25
  5. Step 5: Solve for x
    x = 267,665,960.25/7,577.25
  6. Step 6: Final answer
    x = 35,324.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.