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Finding the Third Proportional to 4,702.43 and 6,115.82

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Solution

The third proportional to 4,702.43 and 6,115.82 is: 7,954.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.43 : 6,115.82 = 6,115.82 : x
  2. Step 2: Convert to fraction form
    4,702.43/6,115.82 = 6,115.82/x
  3. Step 3: Cross multiply
    4,702.43x = 6,115.82 × 6,115.82
  4. Step 4: Simplify right side
    4,702.43x = 37,403,210.31
  5. Step 5: Solve for x
    x = 37,403,210.31/4,702.43
  6. Step 6: Final answer
    x = 7,954.02

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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.