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Finding the Third Proportional to 1,913.06 and 4,010.06

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Solution

The third proportional to 1,913.06 and 4,010.06 is: 8,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.06 : 4,010.06 = 4,010.06 : x
  2. Step 2: Convert to fraction form
    1,913.06/4,010.06 = 4,010.06/x
  3. Step 3: Cross multiply
    1,913.06x = 4,010.06 × 4,010.06
  4. Step 4: Simplify right side
    1,913.06x = 16,080,601.25
  5. Step 5: Solve for x
    x = 16,080,601.25/1,913.06
  6. Step 6: Final answer
    x = 8,405.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.