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Finding the Third Proportional to 2,004.75 and 2,702.53

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Solution

The third proportional to 2,004.75 and 2,702.53 is: 3,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.75 : 2,702.53 = 2,702.53 : x
  2. Step 2: Convert to fraction form
    2,004.75/2,702.53 = 2,702.53/x
  3. Step 3: Cross multiply
    2,004.75x = 2,702.53 × 2,702.53
  4. Step 4: Simplify right side
    2,004.75x = 7,303,675.16
  5. Step 5: Solve for x
    x = 7,303,675.16/2,004.75
  6. Step 6: Final answer
    x = 3,643.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.