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Finding the Third Proportional to 7,038.28 and 15,293.44

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Solution

The third proportional to 7,038.28 and 15,293.44 is: 33,231.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.28 : 15,293.44 = 15,293.44 : x
  2. Step 2: Convert to fraction form
    7,038.28/15,293.44 = 15,293.44/x
  3. Step 3: Cross multiply
    7,038.28x = 15,293.44 × 15,293.44
  4. Step 4: Simplify right side
    7,038.28x = 233,889,230.57
  5. Step 5: Solve for x
    x = 233,889,230.57/7,038.28
  6. Step 6: Final answer
    x = 33,231.02

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Why These Related Problems?

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