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Finding the Third Proportional to 23,235 and 36,923.25

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Solution

The third proportional to 23,235 and 36,923.25 is: 58,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,235 : 36,923.25 = 36,923.25 : x
  2. Step 2: Convert to fraction form
    23,235/36,923.25 = 36,923.25/x
  3. Step 3: Cross multiply
    23,235x = 36,923.25 × 36,923.25
  4. Step 4: Simplify right side
    23,235x = 1,363,326,390.56
  5. Step 5: Solve for x
    x = 1,363,326,390.56/23,235
  6. Step 6: Final answer
    x = 58,675.55

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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.