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Finding the Third Proportional to 10,732 and 14,362

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Solution

The third proportional to 10,732 and 14,362 is: 19,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732 : 14,362 = 14,362 : x
  2. Step 2: Convert to fraction form
    10,732/14,362 = 14,362/x
  3. Step 3: Cross multiply
    10,732x = 14,362 × 14,362
  4. Step 4: Simplify right side
    10,732x = 206,267,044
  5. Step 5: Solve for x
    x = 206,267,044/10,732
  6. Step 6: Final answer
    x = 19,219.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.