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Finding the Third Proportional to 8,610 and 14,157

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Solution

The third proportional to 8,610 and 14,157 is: 23,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,610 : 14,157 = 14,157 : x
  2. Step 2: Convert to fraction form
    8,610/14,157 = 14,157/x
  3. Step 3: Cross multiply
    8,610x = 14,157 × 14,157
  4. Step 4: Simplify right side
    8,610x = 200,420,649
  5. Step 5: Solve for x
    x = 200,420,649/8,610
  6. Step 6: Final answer
    x = 23,277.66

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.