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Finding the Third Proportional to 8,588 and 13,462

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Solution

The third proportional to 8,588 and 13,462 is: 21,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588 : 13,462 = 13,462 : x
  2. Step 2: Convert to fraction form
    8,588/13,462 = 13,462/x
  3. Step 3: Cross multiply
    8,588x = 13,462 × 13,462
  4. Step 4: Simplify right side
    8,588x = 181,225,444
  5. Step 5: Solve for x
    x = 181,225,444/8,588
  6. Step 6: Final answer
    x = 21,102.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.