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Finding the Third Proportional to 7,549.13 and 16,260.75

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Solution

The third proportional to 7,549.13 and 16,260.75 is: 35,025.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.13 : 16,260.75 = 16,260.75 : x
  2. Step 2: Convert to fraction form
    7,549.13/16,260.75 = 16,260.75/x
  3. Step 3: Cross multiply
    7,549.13x = 16,260.75 × 16,260.75
  4. Step 4: Simplify right side
    7,549.13x = 264,411,990.56
  5. Step 5: Solve for x
    x = 264,411,990.56/7,549.13
  6. Step 6: Final answer
    x = 35,025.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.