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Finding the Third Proportional to 32,853 and 51,477

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Solution

The third proportional to 32,853 and 51,477 is: 80,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853 : 51,477 = 51,477 : x
  2. Step 2: Convert to fraction form
    32,853/51,477 = 51,477/x
  3. Step 3: Cross multiply
    32,853x = 51,477 × 51,477
  4. Step 4: Simplify right side
    32,853x = 2,649,881,529
  5. Step 5: Solve for x
    x = 2,649,881,529/32,853
  6. Step 6: Final answer
    x = 80,658.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.