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Finding the Third Proportional to 3,597.75 and 5,756.06

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Solution

The third proportional to 3,597.75 and 5,756.06 is: 9,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.75 : 5,756.06 = 5,756.06 : x
  2. Step 2: Convert to fraction form
    3,597.75/5,756.06 = 5,756.06/x
  3. Step 3: Cross multiply
    3,597.75x = 5,756.06 × 5,756.06
  4. Step 4: Simplify right side
    3,597.75x = 33,132,255.50
  5. Step 5: Solve for x
    x = 33,132,255.50/3,597.75
  6. Step 6: Final answer
    x = 9,209.16

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.