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Finding the Third Proportional to 9,301.22 and 20,348.86

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Solution

The third proportional to 9,301.22 and 20,348.86 is: 44,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.22 : 20,348.86 = 20,348.86 : x
  2. Step 2: Convert to fraction form
    9,301.22/20,348.86 = 20,348.86/x
  3. Step 3: Cross multiply
    9,301.22x = 20,348.86 × 20,348.86
  4. Step 4: Simplify right side
    9,301.22x = 414,076,077.86
  5. Step 5: Solve for x
    x = 414,076,077.86/9,301.22
  6. Step 6: Final answer
    x = 44,518.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.