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Finding the Third Proportional to 32,700 and 48,806

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Solution

The third proportional to 32,700 and 48,806 is: 72,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,700 : 48,806 = 48,806 : x
  2. Step 2: Convert to fraction form
    32,700/48,806 = 48,806/x
  3. Step 3: Cross multiply
    32,700x = 48,806 × 48,806
  4. Step 4: Simplify right side
    32,700x = 2,382,025,636
  5. Step 5: Solve for x
    x = 2,382,025,636/32,700
  6. Step 6: Final answer
    x = 72,844.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.