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Finding the Third Proportional to 14,567.50 and 31,601

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Solution

The third proportional to 14,567.50 and 31,601 is: 68,551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567.50 : 31,601 = 31,601 : x
  2. Step 2: Convert to fraction form
    14,567.50/31,601 = 31,601/x
  3. Step 3: Cross multiply
    14,567.50x = 31,601 × 31,601
  4. Step 4: Simplify right side
    14,567.50x = 998,623,201
  5. Step 5: Solve for x
    x = 998,623,201/14,567.50
  6. Step 6: Final answer
    x = 68,551.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.