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Finding the Third Proportional to 32,800 and 50,484

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Solution

The third proportional to 32,800 and 50,484 is: 77,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,800 : 50,484 = 50,484 : x
  2. Step 2: Convert to fraction form
    32,800/50,484 = 50,484/x
  3. Step 3: Cross multiply
    32,800x = 50,484 × 50,484
  4. Step 4: Simplify right side
    32,800x = 2,548,634,256
  5. Step 5: Solve for x
    x = 2,548,634,256/32,800
  6. Step 6: Final answer
    x = 77,702.26

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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.