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Finding the Third Proportional to 15,840 and 36,733.50

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Solution

The third proportional to 15,840 and 36,733.50 is: 85,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840 : 36,733.50 = 36,733.50 : x
  2. Step 2: Convert to fraction form
    15,840/36,733.50 = 36,733.50/x
  3. Step 3: Cross multiply
    15,840x = 36,733.50 × 36,733.50
  4. Step 4: Simplify right side
    15,840x = 1,349,350,022.25
  5. Step 5: Solve for x
    x = 1,349,350,022.25/15,840
  6. Step 6: Final answer
    x = 85,186.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.