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

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Solution

The third proportional to 10,566 and 19,566 is: 36,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566 : 19,566 = 19,566 : x
  2. Step 2: Convert to fraction form
    10,566/19,566 = 19,566/x
  3. Step 3: Cross multiply
    10,566x = 19,566 × 19,566
  4. Step 4: Simplify right side
    10,566x = 382,828,356
  5. Step 5: Solve for x
    x = 382,828,356/10,566
  6. Step 6: Final answer
    x = 36,232.10

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.