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Finding the Third Proportional to 32,384 and 48,808

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Solution

The third proportional to 32,384 and 48,808 is: 73,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384 : 48,808 = 48,808 : x
  2. Step 2: Convert to fraction form
    32,384/48,808 = 48,808/x
  3. Step 3: Cross multiply
    32,384x = 48,808 × 48,808
  4. Step 4: Simplify right side
    32,384x = 2,382,220,864
  5. Step 5: Solve for x
    x = 2,382,220,864/32,384
  6. Step 6: Final answer
    x = 73,561.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.