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Finding the Third Proportional to 5,576.75 and 7,570.25

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Solution

The third proportional to 5,576.75 and 7,570.25 is: 10,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.75 : 7,570.25 = 7,570.25 : x
  2. Step 2: Convert to fraction form
    5,576.75/7,570.25 = 7,570.25/x
  3. Step 3: Cross multiply
    5,576.75x = 7,570.25 × 7,570.25
  4. Step 4: Simplify right side
    5,576.75x = 57,308,685.06
  5. Step 5: Solve for x
    x = 57,308,685.06/5,576.75
  6. Step 6: Final answer
    x = 10,276.36

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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.