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Finding the Third Proportional to 2,107.69 and 2,837.53

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Solution

The third proportional to 2,107.69 and 2,837.53 is: 3,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.69 : 2,837.53 = 2,837.53 : x
  2. Step 2: Convert to fraction form
    2,107.69/2,837.53 = 2,837.53/x
  3. Step 3: Cross multiply
    2,107.69x = 2,837.53 × 2,837.53
  4. Step 4: Simplify right side
    2,107.69x = 8,051,583.59
  5. Step 5: Solve for x
    x = 8,051,583.59/2,107.69
  6. Step 6: Final answer
    x = 3,820.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.