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Finding the Third Proportional to 23,292 and 36,321.50

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Solution

The third proportional to 23,292 and 36,321.50 is: 56,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,292 : 36,321.50 = 36,321.50 : x
  2. Step 2: Convert to fraction form
    23,292/36,321.50 = 36,321.50/x
  3. Step 3: Cross multiply
    23,292x = 36,321.50 × 36,321.50
  4. Step 4: Simplify right side
    23,292x = 1,319,251,362.25
  5. Step 5: Solve for x
    x = 1,319,251,362.25/23,292
  6. Step 6: Final answer
    x = 56,639.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.