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Finding the Third Proportional to 32,643 and 36,733.50

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Solution

The third proportional to 32,643 and 36,733.50 is: 41,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,643 : 36,733.50 = 36,733.50 : x
  2. Step 2: Convert to fraction form
    32,643/36,733.50 = 36,733.50/x
  3. Step 3: Cross multiply
    32,643x = 36,733.50 × 36,733.50
  4. Step 4: Simplify right side
    32,643x = 1,349,350,022.25
  5. Step 5: Solve for x
    x = 1,349,350,022.25/32,643
  6. Step 6: Final answer
    x = 41,336.58

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.