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Finding the Third Proportional to 8,207 and 17,438.50

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Solution

The third proportional to 8,207 and 17,438.50 is: 37,053.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207 : 17,438.50 = 17,438.50 : x
  2. Step 2: Convert to fraction form
    8,207/17,438.50 = 17,438.50/x
  3. Step 3: Cross multiply
    8,207x = 17,438.50 × 17,438.50
  4. Step 4: Simplify right side
    8,207x = 304,101,282.25
  5. Step 5: Solve for x
    x = 304,101,282.25/8,207
  6. Step 6: Final answer
    x = 37,053.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.