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Finding the Third Proportional to 3,135.27 and 4,702.90

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Solution

The third proportional to 3,135.27 and 4,702.90 is: 7,054.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.27 : 4,702.90 = 4,702.90 : x
  2. Step 2: Convert to fraction form
    3,135.27/4,702.90 = 4,702.90/x
  3. Step 3: Cross multiply
    3,135.27x = 4,702.90 × 4,702.90
  4. Step 4: Simplify right side
    3,135.27x = 22,117,308.83
  5. Step 5: Solve for x
    x = 22,117,308.83/3,135.27
  6. Step 6: Final answer
    x = 7,054.36

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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.