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Finding the Third Proportional to 12,106 and 26,510

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Solution

The third proportional to 12,106 and 26,510 is: 58,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106 : 26,510 = 26,510 : x
  2. Step 2: Convert to fraction form
    12,106/26,510 = 26,510/x
  3. Step 3: Cross multiply
    12,106x = 26,510 × 26,510
  4. Step 4: Simplify right side
    12,106x = 702,780,100
  5. Step 5: Solve for x
    x = 702,780,100/12,106
  6. Step 6: Final answer
    x = 58,052.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.