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Finding the Third Proportional to 19,768 and 43,586

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Solution

The third proportional to 19,768 and 43,586 is: 96,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768 : 43,586 = 43,586 : x
  2. Step 2: Convert to fraction form
    19,768/43,586 = 43,586/x
  3. Step 3: Cross multiply
    19,768x = 43,586 × 43,586
  4. Step 4: Simplify right side
    19,768x = 1,899,739,396
  5. Step 5: Solve for x
    x = 1,899,739,396/19,768
  6. Step 6: Final answer
    x = 96,101.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.