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Finding the Third Proportional to 1,946.85 and 4,577.13

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Solution

The third proportional to 1,946.85 and 4,577.13 is: 10,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.85 : 4,577.13 = 4,577.13 : x
  2. Step 2: Convert to fraction form
    1,946.85/4,577.13 = 4,577.13/x
  3. Step 3: Cross multiply
    1,946.85x = 4,577.13 × 4,577.13
  4. Step 4: Simplify right side
    1,946.85x = 20,950,144.78
  5. Step 5: Solve for x
    x = 20,950,144.78/1,946.85
  6. Step 6: Final answer
    x = 10,761.06

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.