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Finding the Third Proportional to 2,004.75 and 4,746.38

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Solution

The third proportional to 2,004.75 and 4,746.38 is: 11,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.75 : 4,746.38 = 4,746.38 : x
  2. Step 2: Convert to fraction form
    2,004.75/4,746.38 = 4,746.38/x
  3. Step 3: Cross multiply
    2,004.75x = 4,746.38 × 4,746.38
  4. Step 4: Simplify right side
    2,004.75x = 22,528,075.64
  5. Step 5: Solve for x
    x = 22,528,075.64/2,004.75
  6. Step 6: Final answer
    x = 11,237.35

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.