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Finding the Third Proportional to 7,719.75 and 16,610.63

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Solution

The third proportional to 7,719.75 and 16,610.63 is: 35,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.75 : 16,610.63 = 16,610.63 : x
  2. Step 2: Convert to fraction form
    7,719.75/16,610.63 = 16,610.63/x
  3. Step 3: Cross multiply
    7,719.75x = 16,610.63 × 16,610.63
  4. Step 4: Simplify right side
    7,719.75x = 275,912,862.89
  5. Step 5: Solve for x
    x = 275,912,862.89/7,719.75
  6. Step 6: Final answer
    x = 35,741.17

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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.