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Finding the Third Proportional to 4,615.31 and 5,607.56

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Solution

The third proportional to 4,615.31 and 5,607.56 is: 6,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.31 : 5,607.56 = 5,607.56 : x
  2. Step 2: Convert to fraction form
    4,615.31/5,607.56 = 5,607.56/x
  3. Step 3: Cross multiply
    4,615.31x = 5,607.56 × 5,607.56
  4. Step 4: Simplify right side
    4,615.31x = 31,444,757.19
  5. Step 5: Solve for x
    x = 31,444,757.19/4,615.31
  6. Step 6: Final answer
    x = 6,813.14

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.