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Finding the Third Proportional to 1,946.25 and 4,219.88

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Solution

The third proportional to 1,946.25 and 4,219.88 is: 9,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.25 : 4,219.88 = 4,219.88 : x
  2. Step 2: Convert to fraction form
    1,946.25/4,219.88 = 4,219.88/x
  3. Step 3: Cross multiply
    1,946.25x = 4,219.88 × 4,219.88
  4. Step 4: Simplify right side
    1,946.25x = 17,807,345.02
  5. Step 5: Solve for x
    x = 17,807,345.02/1,946.25
  6. Step 6: Final answer
    x = 9,149.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.