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Finding the Third Proportional to 32,160 and 49,698

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Solution

The third proportional to 32,160 and 49,698 is: 76,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160 : 49,698 = 49,698 : x
  2. Step 2: Convert to fraction form
    32,160/49,698 = 49,698/x
  3. Step 3: Cross multiply
    32,160x = 49,698 × 49,698
  4. Step 4: Simplify right side
    32,160x = 2,469,891,204
  5. Step 5: Solve for x
    x = 2,469,891,204/32,160
  6. Step 6: Final answer
    x = 76,800.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.