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Finding the Third Proportional to 19,746 and 43,866

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Solution

The third proportional to 19,746 and 43,866 is: 97,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,746 : 43,866 = 43,866 : x
  2. Step 2: Convert to fraction form
    19,746/43,866 = 43,866/x
  3. Step 3: Cross multiply
    19,746x = 43,866 × 43,866
  4. Step 4: Simplify right side
    19,746x = 1,924,225,956
  5. Step 5: Solve for x
    x = 1,924,225,956/19,746
  6. Step 6: Final answer
    x = 97,448.90

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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.