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Finding the Third Proportional to 9,458.44 and 14,649.19

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Solution

The third proportional to 9,458.44 and 14,649.19 is: 22,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.44 : 14,649.19 = 14,649.19 : x
  2. Step 2: Convert to fraction form
    9,458.44/14,649.19 = 14,649.19/x
  3. Step 3: Cross multiply
    9,458.44x = 14,649.19 × 14,649.19
  4. Step 4: Simplify right side
    9,458.44x = 214,598,694.41
  5. Step 5: Solve for x
    x = 214,598,694.41/9,458.44
  6. Step 6: Final answer
    x = 22,688.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.