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Finding the Third Proportional to 19,658 and 43,708

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Solution

The third proportional to 19,658 and 43,708 is: 97,181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658 : 43,708 = 43,708 : x
  2. Step 2: Convert to fraction form
    19,658/43,708 = 43,708/x
  3. Step 3: Cross multiply
    19,658x = 43,708 × 43,708
  4. Step 4: Simplify right side
    19,658x = 1,910,389,264
  5. Step 5: Solve for x
    x = 1,910,389,264/19,658
  6. Step 6: Final answer
    x = 97,181.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.