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Finding the Third Proportional to 3,045 and 6,569.25

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Solution

The third proportional to 3,045 and 6,569.25 is: 14,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045 : 6,569.25 = 6,569.25 : x
  2. Step 2: Convert to fraction form
    3,045/6,569.25 = 6,569.25/x
  3. Step 3: Cross multiply
    3,045x = 6,569.25 × 6,569.25
  4. Step 4: Simplify right side
    3,045x = 43,155,045.56
  5. Step 5: Solve for x
    x = 43,155,045.56/3,045
  6. Step 6: Final answer
    x = 14,172.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.