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Finding the Third Proportional to 8,495.44 and 13,114.13

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Solution

The third proportional to 8,495.44 and 13,114.13 is: 20,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.44 : 13,114.13 = 13,114.13 : x
  2. Step 2: Convert to fraction form
    8,495.44/13,114.13 = 13,114.13/x
  3. Step 3: Cross multiply
    8,495.44x = 13,114.13 × 13,114.13
  4. Step 4: Simplify right side
    8,495.44x = 171,980,274.52
  5. Step 5: Solve for x
    x = 171,980,274.52/8,495.44
  6. Step 6: Final answer
    x = 20,243.84

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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.