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Finding the Third Proportional to 2,054.11 and 2,265.05

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Solution

The third proportional to 2,054.11 and 2,265.05 is: 2,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.11 : 2,265.05 = 2,265.05 : x
  2. Step 2: Convert to fraction form
    2,054.11/2,265.05 = 2,265.05/x
  3. Step 3: Cross multiply
    2,054.11x = 2,265.05 × 2,265.05
  4. Step 4: Simplify right side
    2,054.11x = 5,130,437.35
  5. Step 5: Solve for x
    x = 5,130,437.35/2,054.11
  6. Step 6: Final answer
    x = 2,497.65

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.