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Finding the Third Proportional to 14,739.75 and 23,339.38

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Solution

The third proportional to 14,739.75 and 23,339.38 is: 36,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,739.75 : 23,339.38 = 23,339.38 : x
  2. Step 2: Convert to fraction form
    14,739.75/23,339.38 = 23,339.38/x
  3. Step 3: Cross multiply
    14,739.75x = 23,339.38 × 23,339.38
  4. Step 4: Simplify right side
    14,739.75x = 544,726,425.39
  5. Step 5: Solve for x
    x = 544,726,425.39/14,739.75
  6. Step 6: Final answer
    x = 36,956.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.