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Finding the Third Proportional to 2,045.81 and 2,763.84

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Solution

The third proportional to 2,045.81 and 2,763.84 is: 3,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.81 : 2,763.84 = 2,763.84 : x
  2. Step 2: Convert to fraction form
    2,045.81/2,763.84 = 2,763.84/x
  3. Step 3: Cross multiply
    2,045.81x = 2,763.84 × 2,763.84
  4. Step 4: Simplify right side
    2,045.81x = 7,638,832.27
  5. Step 5: Solve for x
    x = 7,638,832.27/2,045.81
  6. Step 6: Final answer
    x = 3,733.89

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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.