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Finding the Third Proportional to 1,567.27 and 3,404.53

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Solution

The third proportional to 1,567.27 and 3,404.53 is: 7,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.27 : 3,404.53 = 3,404.53 : x
  2. Step 2: Convert to fraction form
    1,567.27/3,404.53 = 3,404.53/x
  3. Step 3: Cross multiply
    1,567.27x = 3,404.53 × 3,404.53
  4. Step 4: Simplify right side
    1,567.27x = 11,590,833.03
  5. Step 5: Solve for x
    x = 11,590,833.03/1,567.27
  6. Step 6: Final answer
    x = 7,395.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.