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Finding the Third Proportional to 3,319.31 and 7,275.94

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Solution

The third proportional to 3,319.31 and 7,275.94 is: 15,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.31 : 7,275.94 = 7,275.94 : x
  2. Step 2: Convert to fraction form
    3,319.31/7,275.94 = 7,275.94/x
  3. Step 3: Cross multiply
    3,319.31x = 7,275.94 × 7,275.94
  4. Step 4: Simplify right side
    3,319.31x = 52,939,266.50
  5. Step 5: Solve for x
    x = 52,939,266.50/3,319.31
  6. Step 6: Final answer
    x = 15,948.86

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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.