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Finding the Third Proportional to 4,460.70 and 9,715.99

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Solution

The third proportional to 4,460.70 and 9,715.99 is: 21,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.70 : 9,715.99 = 9,715.99 : x
  2. Step 2: Convert to fraction form
    4,460.70/9,715.99 = 9,715.99/x
  3. Step 3: Cross multiply
    4,460.70x = 9,715.99 × 9,715.99
  4. Step 4: Simplify right side
    4,460.70x = 94,400,504.19
  5. Step 5: Solve for x
    x = 94,400,504.19/4,460.70
  6. Step 6: Final answer
    x = 21,162.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.