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Finding the Third Proportional to 19,700 and 32,829

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Solution

The third proportional to 19,700 and 32,829 is: 54,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700 : 32,829 = 32,829 : x
  2. Step 2: Convert to fraction form
    19,700/32,829 = 32,829/x
  3. Step 3: Cross multiply
    19,700x = 32,829 × 32,829
  4. Step 4: Simplify right side
    19,700x = 1,077,743,241
  5. Step 5: Solve for x
    x = 1,077,743,241/19,700
  6. Step 6: Final answer
    x = 54,707.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.