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Finding the Third Proportional to 1,994.06 and 4,657.22

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Solution

The third proportional to 1,994.06 and 4,657.22 is: 10,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.06 : 4,657.22 = 4,657.22 : x
  2. Step 2: Convert to fraction form
    1,994.06/4,657.22 = 4,657.22/x
  3. Step 3: Cross multiply
    1,994.06x = 4,657.22 × 4,657.22
  4. Step 4: Simplify right side
    1,994.06x = 21,689,686.49
  5. Step 5: Solve for x
    x = 21,689,686.49/1,994.06
  6. Step 6: Final answer
    x = 10,877.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.