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Finding the Third Proportional to 8,342 and 19,748

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Solution

The third proportional to 8,342 and 19,748 is: 46,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342 : 19,748 = 19,748 : x
  2. Step 2: Convert to fraction form
    8,342/19,748 = 19,748/x
  3. Step 3: Cross multiply
    8,342x = 19,748 × 19,748
  4. Step 4: Simplify right side
    8,342x = 389,983,504
  5. Step 5: Solve for x
    x = 389,983,504/8,342
  6. Step 6: Final answer
    x = 46,749.40

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.