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Finding the Third Proportional to 3,537.21 and 4,816.76

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Solution

The third proportional to 3,537.21 and 4,816.76 is: 6,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.21 : 4,816.76 = 4,816.76 : x
  2. Step 2: Convert to fraction form
    3,537.21/4,816.76 = 4,816.76/x
  3. Step 3: Cross multiply
    3,537.21x = 4,816.76 × 4,816.76
  4. Step 4: Simplify right side
    3,537.21x = 23,201,155.82
  5. Step 5: Solve for x
    x = 23,201,155.82/3,537.21
  6. Step 6: Final answer
    x = 6,559.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.