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Finding the Third Proportional to 4,709 and 8,815

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Solution

The third proportional to 4,709 and 8,815 is: 16,501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709 : 8,815 = 8,815 : x
  2. Step 2: Convert to fraction form
    4,709/8,815 = 8,815/x
  3. Step 3: Cross multiply
    4,709x = 8,815 × 8,815
  4. Step 4: Simplify right side
    4,709x = 77,704,225
  5. Step 5: Solve for x
    x = 77,704,225/4,709
  6. Step 6: Final answer
    x = 16,501.22

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.