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Finding the Third Proportional to 5,102 and 11,020

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Solution

The third proportional to 5,102 and 11,020 is: 23,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102 : 11,020 = 11,020 : x
  2. Step 2: Convert to fraction form
    5,102/11,020 = 11,020/x
  3. Step 3: Cross multiply
    5,102x = 11,020 × 11,020
  4. Step 4: Simplify right side
    5,102x = 121,440,400
  5. Step 5: Solve for x
    x = 121,440,400/5,102
  6. Step 6: Final answer
    x = 23,802.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.