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Finding the Third Proportional to 8,715.50 and 19,007

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Solution

The third proportional to 8,715.50 and 19,007 is: 41,450.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.50 : 19,007 = 19,007 : x
  2. Step 2: Convert to fraction form
    8,715.50/19,007 = 19,007/x
  3. Step 3: Cross multiply
    8,715.50x = 19,007 × 19,007
  4. Step 4: Simplify right side
    8,715.50x = 361,266,049
  5. Step 5: Solve for x
    x = 361,266,049/8,715.50
  6. Step 6: Final answer
    x = 41,450.98

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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.