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Finding the Third Proportional to 32,832 and 49,284

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Solution

The third proportional to 32,832 and 49,284 is: 73,980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832 : 49,284 = 49,284 : x
  2. Step 2: Convert to fraction form
    32,832/49,284 = 49,284/x
  3. Step 3: Cross multiply
    32,832x = 49,284 × 49,284
  4. Step 4: Simplify right side
    32,832x = 2,428,912,656
  5. Step 5: Solve for x
    x = 2,428,912,656/32,832
  6. Step 6: Final answer
    x = 73,980.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.