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Finding the Third Proportional to 19,737 and 43,362

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Solution

The third proportional to 19,737 and 43,362 is: 95,265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,737 : 43,362 = 43,362 : x
  2. Step 2: Convert to fraction form
    19,737/43,362 = 43,362/x
  3. Step 3: Cross multiply
    19,737x = 43,362 × 43,362
  4. Step 4: Simplify right side
    19,737x = 1,880,263,044
  5. Step 5: Solve for x
    x = 1,880,263,044/19,737
  6. Step 6: Final answer
    x = 95,265.90

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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.