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Finding the Third Proportional to 12,100 and 13,060

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Solution

The third proportional to 12,100 and 13,060 is: 14,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100 : 13,060 = 13,060 : x
  2. Step 2: Convert to fraction form
    12,100/13,060 = 13,060/x
  3. Step 3: Cross multiply
    12,100x = 13,060 × 13,060
  4. Step 4: Simplify right side
    12,100x = 170,563,600
  5. Step 5: Solve for x
    x = 170,563,600/12,100
  6. Step 6: Final answer
    x = 14,096.17

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.