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Finding the Third Proportional to 14,313.90 and 21,043.23

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Solution

The third proportional to 14,313.90 and 21,043.23 is: 30,936.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313.90 : 21,043.23 = 21,043.23 : x
  2. Step 2: Convert to fraction form
    14,313.90/21,043.23 = 21,043.23/x
  3. Step 3: Cross multiply
    14,313.90x = 21,043.23 × 21,043.23
  4. Step 4: Simplify right side
    14,313.90x = 442,817,548.56
  5. Step 5: Solve for x
    x = 442,817,548.56/14,313.90
  6. Step 6: Final answer
    x = 30,936.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.