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Finding the Third Proportional to 2,090.18 and 3,135.27

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Solution

The third proportional to 2,090.18 and 3,135.27 is: 4,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.18 : 3,135.27 = 3,135.27 : x
  2. Step 2: Convert to fraction form
    2,090.18/3,135.27 = 3,135.27/x
  3. Step 3: Cross multiply
    2,090.18x = 3,135.27 × 3,135.27
  4. Step 4: Simplify right side
    2,090.18x = 9,829,915.03
  5. Step 5: Solve for x
    x = 9,829,915.03/2,090.18
  6. Step 6: Final answer
    x = 4,702.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.