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Finding the Third Proportional to 4,695.47 and 7,220.39

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Solution

The third proportional to 4,695.47 and 7,220.39 is: 11,103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.47 : 7,220.39 = 7,220.39 : x
  2. Step 2: Convert to fraction form
    4,695.47/7,220.39 = 7,220.39/x
  3. Step 3: Cross multiply
    4,695.47x = 7,220.39 × 7,220.39
  4. Step 4: Simplify right side
    4,695.47x = 52,134,040.78
  5. Step 5: Solve for x
    x = 52,134,040.78/4,695.47
  6. Step 6: Final answer
    x = 11,103.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.