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Finding the Third Proportional to 2,124.28 and 2,723.06

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Solution

The third proportional to 2,124.28 and 2,723.06 is: 3,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.28 : 2,723.06 = 2,723.06 : x
  2. Step 2: Convert to fraction form
    2,124.28/2,723.06 = 2,723.06/x
  3. Step 3: Cross multiply
    2,124.28x = 2,723.06 × 2,723.06
  4. Step 4: Simplify right side
    2,124.28x = 7,415,069.38
  5. Step 5: Solve for x
    x = 7,415,069.38/2,124.28
  6. Step 6: Final answer
    x = 3,490.63

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.