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Finding the Third Proportional to 15,702.75 and 34,224.75

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Solution

The third proportional to 15,702.75 and 34,224.75 is: 74,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.75 : 34,224.75 = 34,224.75 : x
  2. Step 2: Convert to fraction form
    15,702.75/34,224.75 = 34,224.75/x
  3. Step 3: Cross multiply
    15,702.75x = 34,224.75 × 34,224.75
  4. Step 4: Simplify right side
    15,702.75x = 1,171,333,512.56
  5. Step 5: Solve for x
    x = 1,171,333,512.56/15,702.75
  6. Step 6: Final answer
    x = 74,594.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.