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Finding the Third Proportional to 4,212 and 5,702.25

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Solution

The third proportional to 4,212 and 5,702.25 is: 7,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 5,702.25 = 5,702.25 : x
  2. Step 2: Convert to fraction form
    4,212/5,702.25 = 5,702.25/x
  3. Step 3: Cross multiply
    4,212x = 5,702.25 × 5,702.25
  4. Step 4: Simplify right side
    4,212x = 32,515,655.06
  5. Step 5: Solve for x
    x = 32,515,655.06/4,212
  6. Step 6: Final answer
    x = 7,719.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.