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Finding the Third Proportional to 1,849.13 and 3,987.38

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Solution

The third proportional to 1,849.13 and 3,987.38 is: 8,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.13 : 3,987.38 = 3,987.38 : x
  2. Step 2: Convert to fraction form
    1,849.13/3,987.38 = 3,987.38/x
  3. Step 3: Cross multiply
    1,849.13x = 3,987.38 × 3,987.38
  4. Step 4: Simplify right side
    1,849.13x = 15,899,159.39
  5. Step 5: Solve for x
    x = 15,899,159.39/1,849.13
  6. Step 6: Final answer
    x = 8,598.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.