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Finding the Third Proportional to 23,234 and 36,923.25

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Solution

The third proportional to 23,234 and 36,923.25 is: 58,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234 : 36,923.25 = 36,923.25 : x
  2. Step 2: Convert to fraction form
    23,234/36,923.25 = 36,923.25/x
  3. Step 3: Cross multiply
    23,234x = 36,923.25 × 36,923.25
  4. Step 4: Simplify right side
    23,234x = 1,363,326,390.56
  5. Step 5: Solve for x
    x = 1,363,326,390.56/23,234
  6. Step 6: Final answer
    x = 58,678.07

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1.5x scale

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.