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Finding the Third Proportional to 13,614.75 and 23,284.13

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Solution

The third proportional to 13,614.75 and 23,284.13 is: 39,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.75 : 23,284.13 = 23,284.13 : x
  2. Step 2: Convert to fraction form
    13,614.75/23,284.13 = 23,284.13/x
  3. Step 3: Cross multiply
    13,614.75x = 23,284.13 × 23,284.13
  4. Step 4: Simplify right side
    13,614.75x = 542,150,477.02
  5. Step 5: Solve for x
    x = 542,150,477.02/13,614.75
  6. Step 6: Final answer
    x = 39,820.82

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.