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Finding the Third Proportional to 17,282.50 and 37,013

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Solution

The third proportional to 17,282.50 and 37,013 is: 79,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.50 : 37,013 = 37,013 : x
  2. Step 2: Convert to fraction form
    17,282.50/37,013 = 37,013/x
  3. Step 3: Cross multiply
    17,282.50x = 37,013 × 37,013
  4. Step 4: Simplify right side
    17,282.50x = 1,369,962,169
  5. Step 5: Solve for x
    x = 1,369,962,169/17,282.50
  6. Step 6: Final answer
    x = 79,268.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.