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Finding the Third Proportional to 19,708 and 32,840

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Solution

The third proportional to 19,708 and 32,840 is: 54,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708 : 32,840 = 32,840 : x
  2. Step 2: Convert to fraction form
    19,708/32,840 = 32,840/x
  3. Step 3: Cross multiply
    19,708x = 32,840 × 32,840
  4. Step 4: Simplify right side
    19,708x = 1,078,465,600
  5. Step 5: Solve for x
    x = 1,078,465,600/19,708
  6. Step 6: Final answer
    x = 54,722.22

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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.