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Finding the Third Proportional to 3,564 and 5,348.53

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Solution

The third proportional to 3,564 and 5,348.53 is: 8,026.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564 : 5,348.53 = 5,348.53 : x
  2. Step 2: Convert to fraction form
    3,564/5,348.53 = 5,348.53/x
  3. Step 3: Cross multiply
    3,564x = 5,348.53 × 5,348.53
  4. Step 4: Simplify right side
    3,564x = 28,606,786.53
  5. Step 5: Solve for x
    x = 28,606,786.53/3,564
  6. Step 6: Final answer
    x = 8,026.60

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Why These Related Problems?

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