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Finding the Third Proportional to 4,725 and 6,605

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Solution

The third proportional to 4,725 and 6,605 is: 9,233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725 : 6,605 = 6,605 : x
  2. Step 2: Convert to fraction form
    4,725/6,605 = 6,605/x
  3. Step 3: Cross multiply
    4,725x = 6,605 × 6,605
  4. Step 4: Simplify right side
    4,725x = 43,626,025
  5. Step 5: Solve for x
    x = 43,626,025/4,725
  6. Step 6: Final answer
    x = 9,233.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.