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Finding the Third Proportional to 23,809.25 and 35,002.68

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Solution

The third proportional to 23,809.25 and 35,002.68 is: 51,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.25 : 35,002.68 = 35,002.68 : x
  2. Step 2: Convert to fraction form
    23,809.25/35,002.68 = 35,002.68/x
  3. Step 3: Cross multiply
    23,809.25x = 35,002.68 × 35,002.68
  4. Step 4: Simplify right side
    23,809.25x = 1,225,187,516.94
  5. Step 5: Solve for x
    x = 1,225,187,516.94/23,809.25
  6. Step 6: Final answer
    x = 51,458.46

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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.