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Finding the Third Proportional to 4,715.09 and 9,817.45

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Solution

The third proportional to 4,715.09 and 9,817.45 is: 20,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.09 : 9,817.45 = 9,817.45 : x
  2. Step 2: Convert to fraction form
    4,715.09/9,817.45 = 9,817.45/x
  3. Step 3: Cross multiply
    4,715.09x = 9,817.45 × 9,817.45
  4. Step 4: Simplify right side
    4,715.09x = 96,382,385.86
  5. Step 5: Solve for x
    x = 96,382,385.86/4,715.09
  6. Step 6: Final answer
    x = 20,441.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.