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Finding the Third Proportional to 10,649.81 and 14,894.44

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Solution

The third proportional to 10,649.81 and 14,894.44 is: 20,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.81 : 14,894.44 = 14,894.44 : x
  2. Step 2: Convert to fraction form
    10,649.81/14,894.44 = 14,894.44/x
  3. Step 3: Cross multiply
    10,649.81x = 14,894.44 × 14,894.44
  4. Step 4: Simplify right side
    10,649.81x = 221,844,268.44
  5. Step 5: Solve for x
    x = 221,844,268.44/10,649.81
  6. Step 6: Final answer
    x = 20,830.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.