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Finding the Third Proportional to 8,582 and 13,599

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Solution

The third proportional to 8,582 and 13,599 is: 21,548.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582 : 13,599 = 13,599 : x
  2. Step 2: Convert to fraction form
    8,582/13,599 = 13,599/x
  3. Step 3: Cross multiply
    8,582x = 13,599 × 13,599
  4. Step 4: Simplify right side
    8,582x = 184,932,801
  5. Step 5: Solve for x
    x = 184,932,801/8,582
  6. Step 6: Final answer
    x = 21,548.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.