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Finding the Third Proportional to 14,293.13 and 21,993.19

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Solution

The third proportional to 14,293.13 and 21,993.19 is: 33,841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,293.13 : 21,993.19 = 21,993.19 : x
  2. Step 2: Convert to fraction form
    14,293.13/21,993.19 = 21,993.19/x
  3. Step 3: Cross multiply
    14,293.13x = 21,993.19 × 21,993.19
  4. Step 4: Simplify right side
    14,293.13x = 483,700,296.41
  5. Step 5: Solve for x
    x = 483,700,296.41/14,293.13
  6. Step 6: Final answer
    x = 33,841.47

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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.