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Finding the Third Proportional to 14,693.91 and 21,004.31

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Solution

The third proportional to 14,693.91 and 21,004.31 is: 30,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.91 : 21,004.31 = 21,004.31 : x
  2. Step 2: Convert to fraction form
    14,693.91/21,004.31 = 21,004.31/x
  3. Step 3: Cross multiply
    14,693.91x = 21,004.31 × 21,004.31
  4. Step 4: Simplify right side
    14,693.91x = 441,181,143.60
  5. Step 5: Solve for x
    x = 441,181,143.60/14,693.91
  6. Step 6: Final answer
    x = 30,024.77

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.