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Finding the Third Proportional to 2,702.11 and 6,026.91

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Solution

The third proportional to 2,702.11 and 6,026.91 is: 13,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.11 : 6,026.91 = 6,026.91 : x
  2. Step 2: Convert to fraction form
    2,702.11/6,026.91 = 6,026.91/x
  3. Step 3: Cross multiply
    2,702.11x = 6,026.91 × 6,026.91
  4. Step 4: Simplify right side
    2,702.11x = 36,323,598.95
  5. Step 5: Solve for x
    x = 36,323,598.95/2,702.11
  6. Step 6: Final answer
    x = 13,442.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.