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Finding the Third Proportional to 4,702.50 and 6,294.09

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Solution

The third proportional to 4,702.50 and 6,294.09 is: 8,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.50 : 6,294.09 = 6,294.09 : x
  2. Step 2: Convert to fraction form
    4,702.50/6,294.09 = 6,294.09/x
  3. Step 3: Cross multiply
    4,702.50x = 6,294.09 × 6,294.09
  4. Step 4: Simplify right side
    4,702.50x = 39,615,616.13
  5. Step 5: Solve for x
    x = 39,615,616.13/4,702.50
  6. Step 6: Final answer
    x = 8,424.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.