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Finding the Third Proportional to 4,969 and 7,725

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Solution

The third proportional to 4,969 and 7,725 is: 12,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969 : 7,725 = 7,725 : x
  2. Step 2: Convert to fraction form
    4,969/7,725 = 7,725/x
  3. Step 3: Cross multiply
    4,969x = 7,725 × 7,725
  4. Step 4: Simplify right side
    4,969x = 59,675,625
  5. Step 5: Solve for x
    x = 59,675,625/4,969
  6. Step 6: Final answer
    x = 12,009.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.