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Finding the Third Proportional to 14,753.71 and 23,463.26

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Solution

The third proportional to 14,753.71 and 23,463.26 is: 37,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,753.71 : 23,463.26 = 23,463.26 : x
  2. Step 2: Convert to fraction form
    14,753.71/23,463.26 = 23,463.26/x
  3. Step 3: Cross multiply
    14,753.71x = 23,463.26 × 23,463.26
  4. Step 4: Simplify right side
    14,753.71x = 550,524,742.14
  5. Step 5: Solve for x
    x = 550,524,742.14/14,753.71
  6. Step 6: Final answer
    x = 37,314.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.