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Finding the Third Proportional to 7,284.19 and 15,630.38

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Solution

The third proportional to 7,284.19 and 15,630.38 is: 33,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.19 : 15,630.38 = 15,630.38 : x
  2. Step 2: Convert to fraction form
    7,284.19/15,630.38 = 15,630.38/x
  3. Step 3: Cross multiply
    7,284.19x = 15,630.38 × 15,630.38
  4. Step 4: Simplify right side
    7,284.19x = 244,308,622.64
  5. Step 5: Solve for x
    x = 244,308,622.64/7,284.19
  6. Step 6: Final answer
    x = 33,539.58

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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.