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Finding the Third Proportional to 7,168.64 and 15,435.84

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Solution

The third proportional to 7,168.64 and 15,435.84 is: 33,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.64 : 15,435.84 = 15,435.84 : x
  2. Step 2: Convert to fraction form
    7,168.64/15,435.84 = 15,435.84/x
  3. Step 3: Cross multiply
    7,168.64x = 15,435.84 × 15,435.84
  4. Step 4: Simplify right side
    7,168.64x = 238,265,272.27
  5. Step 5: Solve for x
    x = 238,265,272.27/7,168.64
  6. Step 6: Final answer
    x = 33,237.16

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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.