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Finding the Third Proportional to 2,004.19 and 4,385.53

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Solution

The third proportional to 2,004.19 and 4,385.53 is: 9,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.19 : 4,385.53 = 4,385.53 : x
  2. Step 2: Convert to fraction form
    2,004.19/4,385.53 = 4,385.53/x
  3. Step 3: Cross multiply
    2,004.19x = 4,385.53 × 4,385.53
  4. Step 4: Simplify right side
    2,004.19x = 19,232,884.34
  5. Step 5: Solve for x
    x = 19,232,884.34/2,004.19
  6. Step 6: Final answer
    x = 9,596.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.