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Finding the Third Proportional to 1,737.07 and 2,648.64

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Solution

The third proportional to 1,737.07 and 2,648.64 is: 4,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.07 : 2,648.64 = 2,648.64 : x
  2. Step 2: Convert to fraction form
    1,737.07/2,648.64 = 2,648.64/x
  3. Step 3: Cross multiply
    1,737.07x = 2,648.64 × 2,648.64
  4. Step 4: Simplify right side
    1,737.07x = 7,015,276.47
  5. Step 5: Solve for x
    x = 7,015,276.47/1,737.07
  6. Step 6: Final answer
    x = 4,038.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.