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Finding the Third Proportional to 13,566 and 21,002

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Solution

The third proportional to 13,566 and 21,002 is: 32,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566 : 21,002 = 21,002 : x
  2. Step 2: Convert to fraction form
    13,566/21,002 = 21,002/x
  3. Step 3: Cross multiply
    13,566x = 21,002 × 21,002
  4. Step 4: Simplify right side
    13,566x = 441,084,004
  5. Step 5: Solve for x
    x = 441,084,004/13,566
  6. Step 6: Final answer
    x = 32,513.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.