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Finding the Third Proportional to 8,324 and 17,587

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Solution

The third proportional to 8,324 and 17,587 is: 37,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324 : 17,587 = 17,587 : x
  2. Step 2: Convert to fraction form
    8,324/17,587 = 17,587/x
  3. Step 3: Cross multiply
    8,324x = 17,587 × 17,587
  4. Step 4: Simplify right side
    8,324x = 309,302,569
  5. Step 5: Solve for x
    x = 309,302,569/8,324
  6. Step 6: Final answer
    x = 37,157.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.