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Finding the Third Proportional to 3,643.58 and 5,266.74

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Solution

The third proportional to 3,643.58 and 5,266.74 is: 7,613.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.58 : 5,266.74 = 5,266.74 : x
  2. Step 2: Convert to fraction form
    3,643.58/5,266.74 = 5,266.74/x
  3. Step 3: Cross multiply
    3,643.58x = 5,266.74 × 5,266.74
  4. Step 4: Simplify right side
    3,643.58x = 27,738,552.70
  5. Step 5: Solve for x
    x = 27,738,552.70/3,643.58
  6. Step 6: Final answer
    x = 7,613.00

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.