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Finding the Third Proportional to 7,449.47 and 12,370.22

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Solution

The third proportional to 7,449.47 and 12,370.22 is: 20,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.47 : 12,370.22 = 12,370.22 : x
  2. Step 2: Convert to fraction form
    7,449.47/12,370.22 = 12,370.22/x
  3. Step 3: Cross multiply
    7,449.47x = 12,370.22 × 12,370.22
  4. Step 4: Simplify right side
    7,449.47x = 153,022,311.92
  5. Step 5: Solve for x
    x = 153,022,311.92/7,449.47
  6. Step 6: Final answer
    x = 20,541.37

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.