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Finding the Third Proportional to 10,512 and 19,566

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Solution

The third proportional to 10,512 and 19,566 is: 36,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512 : 19,566 = 19,566 : x
  2. Step 2: Convert to fraction form
    10,512/19,566 = 19,566/x
  3. Step 3: Cross multiply
    10,512x = 19,566 × 19,566
  4. Step 4: Simplify right side
    10,512x = 382,828,356
  5. Step 5: Solve for x
    x = 382,828,356/10,512
  6. Step 6: Final answer
    x = 36,418.22

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.