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Finding the Third Proportional to 5,074.13 and 7,590.56

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Solution

The third proportional to 5,074.13 and 7,590.56 is: 11,354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.13 : 7,590.56 = 7,590.56 : x
  2. Step 2: Convert to fraction form
    5,074.13/7,590.56 = 7,590.56/x
  3. Step 3: Cross multiply
    5,074.13x = 7,590.56 × 7,590.56
  4. Step 4: Simplify right side
    5,074.13x = 57,616,639.07
  5. Step 5: Solve for x
    x = 57,616,639.07/5,074.13
  6. Step 6: Final answer
    x = 11,354.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.