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Finding the Third Proportional to 4,368.94 and 9,411.19

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Solution

The third proportional to 4,368.94 and 9,411.19 is: 20,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368.94 : 9,411.19 = 9,411.19 : x
  2. Step 2: Convert to fraction form
    4,368.94/9,411.19 = 9,411.19/x
  3. Step 3: Cross multiply
    4,368.94x = 9,411.19 × 9,411.19
  4. Step 4: Simplify right side
    4,368.94x = 88,570,450.16
  5. Step 5: Solve for x
    x = 88,570,450.16/4,368.94
  6. Step 6: Final answer
    x = 20,272.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.