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Finding the Third Proportional to 3,709 and 5,776.25

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Solution

The third proportional to 3,709 and 5,776.25 is: 8,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709 : 5,776.25 = 5,776.25 : x
  2. Step 2: Convert to fraction form
    3,709/5,776.25 = 5,776.25/x
  3. Step 3: Cross multiply
    3,709x = 5,776.25 × 5,776.25
  4. Step 4: Simplify right side
    3,709x = 33,365,064.06
  5. Step 5: Solve for x
    x = 33,365,064.06/3,709
  6. Step 6: Final answer
    x = 8,995.70

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.