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Finding the Third Proportional to 10,051.31 and 14,424.19

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Solution

The third proportional to 10,051.31 and 14,424.19 is: 20,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.31 : 14,424.19 = 14,424.19 : x
  2. Step 2: Convert to fraction form
    10,051.31/14,424.19 = 14,424.19/x
  3. Step 3: Cross multiply
    10,051.31x = 14,424.19 × 14,424.19
  4. Step 4: Simplify right side
    10,051.31x = 208,057,185.04
  5. Step 5: Solve for x
    x = 208,057,185.04/10,051.31
  6. Step 6: Final answer
    x = 20,699.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.