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Finding the Third Proportional to 5,072.63 and 6,200.30

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Solution

The third proportional to 5,072.63 and 6,200.30 is: 7,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.63 : 6,200.30 = 6,200.30 : x
  2. Step 2: Convert to fraction form
    5,072.63/6,200.30 = 6,200.30/x
  3. Step 3: Cross multiply
    5,072.63x = 6,200.30 × 6,200.30
  4. Step 4: Simplify right side
    5,072.63x = 38,443,681.34
  5. Step 5: Solve for x
    x = 38,443,681.34/5,072.63
  6. Step 6: Final answer
    x = 7,578.66

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.