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Finding the Third Proportional to 2,386.13 and 4,843.13

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Solution

The third proportional to 2,386.13 and 4,843.13 is: 9,830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.13 : 4,843.13 = 4,843.13 : x
  2. Step 2: Convert to fraction form
    2,386.13/4,843.13 = 4,843.13/x
  3. Step 3: Cross multiply
    2,386.13x = 4,843.13 × 4,843.13
  4. Step 4: Simplify right side
    2,386.13x = 23,455,859.77
  5. Step 5: Solve for x
    x = 23,455,859.77/2,386.13
  6. Step 6: Final answer
    x = 9,830.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.