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Finding the Third Proportional to 2,787.75 and 4,573.13

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Solution

The third proportional to 2,787.75 and 4,573.13 is: 7,501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.75 : 4,573.13 = 4,573.13 : x
  2. Step 2: Convert to fraction form
    2,787.75/4,573.13 = 4,573.13/x
  3. Step 3: Cross multiply
    2,787.75x = 4,573.13 × 4,573.13
  4. Step 4: Simplify right side
    2,787.75x = 20,913,472.27
  5. Step 5: Solve for x
    x = 20,913,472.27/2,787.75
  6. Step 6: Final answer
    x = 7,501.92

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.