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Finding the Third Proportional to 1,910.07 and 4,050.08

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Solution

The third proportional to 1,910.07 and 4,050.08 is: 8,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.07 : 4,050.08 = 4,050.08 : x
  2. Step 2: Convert to fraction form
    1,910.07/4,050.08 = 4,050.08/x
  3. Step 3: Cross multiply
    1,910.07x = 4,050.08 × 4,050.08
  4. Step 4: Simplify right side
    1,910.07x = 16,403,140.73
  5. Step 5: Solve for x
    x = 16,403,140.73/1,910.07
  6. Step 6: Final answer
    x = 8,587.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.