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Finding the Third Proportional to 2,035.13 and 2,478.09

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Solution

The third proportional to 2,035.13 and 2,478.09 is: 3,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.13 : 2,478.09 = 2,478.09 : x
  2. Step 2: Convert to fraction form
    2,035.13/2,478.09 = 2,478.09/x
  3. Step 3: Cross multiply
    2,035.13x = 2,478.09 × 2,478.09
  4. Step 4: Simplify right side
    2,035.13x = 6,140,948.63
  5. Step 5: Solve for x
    x = 6,140,948.63/2,035.13
  6. Step 6: Final answer
    x = 3,017.48

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.