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Finding the Third Proportional to 2,129.06 and 4,663.13

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Solution

The third proportional to 2,129.06 and 4,663.13 is: 10,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.06 : 4,663.13 = 4,663.13 : x
  2. Step 2: Convert to fraction form
    2,129.06/4,663.13 = 4,663.13/x
  3. Step 3: Cross multiply
    2,129.06x = 4,663.13 × 4,663.13
  4. Step 4: Simplify right side
    2,129.06x = 21,744,734.77
  5. Step 5: Solve for x
    x = 21,744,734.77/2,129.06
  6. Step 6: Final answer
    x = 10,213.29

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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.