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Finding the Third Proportional to 4,810 and 10,003

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Solution

The third proportional to 4,810 and 10,003 is: 20,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810 : 10,003 = 10,003 : x
  2. Step 2: Convert to fraction form
    4,810/10,003 = 10,003/x
  3. Step 3: Cross multiply
    4,810x = 10,003 × 10,003
  4. Step 4: Simplify right side
    4,810x = 100,060,009
  5. Step 5: Solve for x
    x = 100,060,009/4,810
  6. Step 6: Final answer
    x = 20,802.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.