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Finding the Third Proportional to 1,915.03 and 2,959.31

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Solution

The third proportional to 1,915.03 and 2,959.31 is: 4,573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.03 : 2,959.31 = 2,959.31 : x
  2. Step 2: Convert to fraction form
    1,915.03/2,959.31 = 2,959.31/x
  3. Step 3: Cross multiply
    1,915.03x = 2,959.31 × 2,959.31
  4. Step 4: Simplify right side
    1,915.03x = 8,757,530.47
  5. Step 5: Solve for x
    x = 8,757,530.47/1,915.03
  6. Step 6: Final answer
    x = 4,573.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.