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Finding the Third Proportional to 3,783.75 and 6,253.13

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Solution

The third proportional to 3,783.75 and 6,253.13 is: 10,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.75 : 6,253.13 = 6,253.13 : x
  2. Step 2: Convert to fraction form
    3,783.75/6,253.13 = 6,253.13/x
  3. Step 3: Cross multiply
    3,783.75x = 6,253.13 × 6,253.13
  4. Step 4: Simplify right side
    3,783.75x = 39,101,572.27
  5. Step 5: Solve for x
    x = 39,101,572.27/3,783.75
  6. Step 6: Final answer
    x = 10,334.08

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.