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Finding the Third Proportional to 7,890.75 and 17,266.08

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Solution

The third proportional to 7,890.75 and 17,266.08 is: 37,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.75 : 17,266.08 = 17,266.08 : x
  2. Step 2: Convert to fraction form
    7,890.75/17,266.08 = 17,266.08/x
  3. Step 3: Cross multiply
    7,890.75x = 17,266.08 × 17,266.08
  4. Step 4: Simplify right side
    7,890.75x = 298,117,453.82
  5. Step 5: Solve for x
    x = 298,117,453.82/7,890.75
  6. Step 6: Final answer
    x = 37,780.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.