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Finding the Third Proportional to 14,043.38 and 21,214.41

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Solution

The third proportional to 14,043.38 and 21,214.41 is: 32,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,043.38 : 21,214.41 = 21,214.41 : x
  2. Step 2: Convert to fraction form
    14,043.38/21,214.41 = 21,214.41/x
  3. Step 3: Cross multiply
    14,043.38x = 21,214.41 × 21,214.41
  4. Step 4: Simplify right side
    14,043.38x = 450,051,032.54
  5. Step 5: Solve for x
    x = 450,051,032.54/14,043.38
  6. Step 6: Final answer
    x = 32,047.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.