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Finding the Third Proportional to 2,038.92 and 2,646.42

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Solution

The third proportional to 2,038.92 and 2,646.42 is: 3,434.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.92 : 2,646.42 = 2,646.42 : x
  2. Step 2: Convert to fraction form
    2,038.92/2,646.42 = 2,646.42/x
  3. Step 3: Cross multiply
    2,038.92x = 2,646.42 × 2,646.42
  4. Step 4: Simplify right side
    2,038.92x = 7,003,548.74
  5. Step 5: Solve for x
    x = 7,003,548.74/2,038.92
  6. Step 6: Final answer
    x = 3,434.93

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.