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Finding the Third Proportional to 32,856 and 48,420

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Solution

The third proportional to 32,856 and 48,420 is: 71,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856 : 48,420 = 48,420 : x
  2. Step 2: Convert to fraction form
    32,856/48,420 = 48,420/x
  3. Step 3: Cross multiply
    32,856x = 48,420 × 48,420
  4. Step 4: Simplify right side
    32,856x = 2,344,496,400
  5. Step 5: Solve for x
    x = 2,344,496,400/32,856
  6. Step 6: Final answer
    x = 71,356.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.