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Finding the Third Proportional to 14,893.31 and 21,993.47

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Solution

The third proportional to 14,893.31 and 21,993.47 is: 32,478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.31 : 21,993.47 = 21,993.47 : x
  2. Step 2: Convert to fraction form
    14,893.31/21,993.47 = 21,993.47/x
  3. Step 3: Cross multiply
    14,893.31x = 21,993.47 × 21,993.47
  4. Step 4: Simplify right side
    14,893.31x = 483,712,667.66
  5. Step 5: Solve for x
    x = 483,712,667.66/14,893.31
  6. Step 6: Final answer
    x = 32,478.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.