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Finding the Third Proportional to 5,803.88 and 12,165.75

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Solution

The third proportional to 5,803.88 and 12,165.75 is: 25,501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.88 : 12,165.75 = 12,165.75 : x
  2. Step 2: Convert to fraction form
    5,803.88/12,165.75 = 12,165.75/x
  3. Step 3: Cross multiply
    5,803.88x = 12,165.75 × 12,165.75
  4. Step 4: Simplify right side
    5,803.88x = 148,005,473.06
  5. Step 5: Solve for x
    x = 148,005,473.06/5,803.88
  6. Step 6: Final answer
    x = 25,501.15

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.