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Finding the Third Proportional to 7,927.88 and 17,239.50

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Solution

The third proportional to 7,927.88 and 17,239.50 is: 37,488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.88 : 17,239.50 = 17,239.50 : x
  2. Step 2: Convert to fraction form
    7,927.88/17,239.50 = 17,239.50/x
  3. Step 3: Cross multiply
    7,927.88x = 17,239.50 × 17,239.50
  4. Step 4: Simplify right side
    7,927.88x = 297,200,360.25
  5. Step 5: Solve for x
    x = 297,200,360.25/7,927.88
  6. Step 6: Final answer
    x = 37,488.02

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