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Finding the Third Proportional to 8,705 and 14,013

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Solution

The third proportional to 8,705 and 14,013 is: 22,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705 : 14,013 = 14,013 : x
  2. Step 2: Convert to fraction form
    8,705/14,013 = 14,013/x
  3. Step 3: Cross multiply
    8,705x = 14,013 × 14,013
  4. Step 4: Simplify right side
    8,705x = 196,364,169
  5. Step 5: Solve for x
    x = 196,364,169/8,705
  6. Step 6: Final answer
    x = 22,557.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.