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Finding the Third Proportional to 2,384.44 and 2,600.44

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Solution

The third proportional to 2,384.44 and 2,600.44 is: 2,836.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.44 : 2,600.44 = 2,600.44 : x
  2. Step 2: Convert to fraction form
    2,384.44/2,600.44 = 2,600.44/x
  3. Step 3: Cross multiply
    2,384.44x = 2,600.44 × 2,600.44
  4. Step 4: Simplify right side
    2,384.44x = 6,762,275.19
  5. Step 5: Solve for x
    x = 6,762,275.19/2,384.44
  6. Step 6: Final answer
    x = 2,836.00

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.