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Finding the Third Proportional to 3,316.31 and 4,506.56

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Solution

The third proportional to 3,316.31 and 4,506.56 is: 6,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.31 : 4,506.56 = 4,506.56 : x
  2. Step 2: Convert to fraction form
    3,316.31/4,506.56 = 4,506.56/x
  3. Step 3: Cross multiply
    3,316.31x = 4,506.56 × 4,506.56
  4. Step 4: Simplify right side
    3,316.31x = 20,309,105.57
  5. Step 5: Solve for x
    x = 20,309,105.57/3,316.31
  6. Step 6: Final answer
    x = 6,124.00

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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.