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Finding the Third Proportional to 7,229.25 and 17,465.63

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Solution

The third proportional to 7,229.25 and 17,465.63 is: 42,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.25 : 17,465.63 = 17,465.63 : x
  2. Step 2: Convert to fraction form
    7,229.25/17,465.63 = 17,465.63/x
  3. Step 3: Cross multiply
    7,229.25x = 17,465.63 × 17,465.63
  4. Step 4: Simplify right side
    7,229.25x = 305,048,056.64
  5. Step 5: Solve for x
    x = 305,048,056.64/7,229.25
  6. Step 6: Final answer
    x = 42,196.36

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.