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Finding the Third Proportional to 7,102 and 14,510

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Solution

The third proportional to 7,102 and 14,510 is: 29,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102 : 14,510 = 14,510 : x
  2. Step 2: Convert to fraction form
    7,102/14,510 = 14,510/x
  3. Step 3: Cross multiply
    7,102x = 14,510 × 14,510
  4. Step 4: Simplify right side
    7,102x = 210,540,100
  5. Step 5: Solve for x
    x = 210,540,100/7,102
  6. Step 6: Final answer
    x = 29,645.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.