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Finding the Third Proportional to 32,832 and 50,702.63

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Solution

The third proportional to 32,832 and 50,702.63 is: 78,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832 : 50,702.63 = 50,702.63 : x
  2. Step 2: Convert to fraction form
    32,832/50,702.63 = 50,702.63/x
  3. Step 3: Cross multiply
    32,832x = 50,702.63 × 50,702.63
  4. Step 4: Simplify right side
    32,832x = 2,570,756,181.89
  5. Step 5: Solve for x
    x = 2,570,756,181.89/32,832
  6. Step 6: Final answer
    x = 78,300.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.