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Finding the Third Proportional to 8,658 and 13,063

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Solution

The third proportional to 8,658 and 13,063 is: 19,709.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658 : 13,063 = 13,063 : x
  2. Step 2: Convert to fraction form
    8,658/13,063 = 13,063/x
  3. Step 3: Cross multiply
    8,658x = 13,063 × 13,063
  4. Step 4: Simplify right side
    8,658x = 170,641,969
  5. Step 5: Solve for x
    x = 170,641,969/8,658
  6. Step 6: Final answer
    x = 19,709.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.