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Finding the Third Proportional to 1,946.25 and 3,117.38

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Solution

The third proportional to 1,946.25 and 3,117.38 is: 4,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.25 : 3,117.38 = 3,117.38 : x
  2. Step 2: Convert to fraction form
    1,946.25/3,117.38 = 3,117.38/x
  3. Step 3: Cross multiply
    1,946.25x = 3,117.38 × 3,117.38
  4. Step 4: Simplify right side
    1,946.25x = 9,718,026.89
  5. Step 5: Solve for x
    x = 9,718,026.89/1,946.25
  6. Step 6: Final answer
    x = 4,993.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.