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Finding the Third Proportional to 10,017 and 21,510

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Solution

The third proportional to 10,017 and 21,510 is: 46,189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017 : 21,510 = 21,510 : x
  2. Step 2: Convert to fraction form
    10,017/21,510 = 21,510/x
  3. Step 3: Cross multiply
    10,017x = 21,510 × 21,510
  4. Step 4: Simplify right side
    10,017x = 462,680,100
  5. Step 5: Solve for x
    x = 462,680,100/10,017
  6. Step 6: Final answer
    x = 46,189.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.