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Finding the Third Proportional to 1,174.03 and 2,776.45

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Solution

The third proportional to 1,174.03 and 2,776.45 is: 6,566.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.03 : 2,776.45 = 2,776.45 : x
  2. Step 2: Convert to fraction form
    1,174.03/2,776.45 = 2,776.45/x
  3. Step 3: Cross multiply
    1,174.03x = 2,776.45 × 2,776.45
  4. Step 4: Simplify right side
    1,174.03x = 7,708,691.96
  5. Step 5: Solve for x
    x = 7,708,691.96/1,174.03
  6. Step 6: Final answer
    x = 6,566.00

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.