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Finding the Third Proportional to 1,782.38 and 3,741.38

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Solution

The third proportional to 1,782.38 and 3,741.38 is: 7,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.38 : 3,741.38 = 3,741.38 : x
  2. Step 2: Convert to fraction form
    1,782.38/3,741.38 = 3,741.38/x
  3. Step 3: Cross multiply
    1,782.38x = 3,741.38 × 3,741.38
  4. Step 4: Simplify right side
    1,782.38x = 13,997,886.89
  5. Step 5: Solve for x
    x = 13,997,886.89/1,782.38
  6. Step 6: Final answer
    x = 7,853.50

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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.