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Finding the Third Proportional to 7,355.81 and 15,630.47

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Solution

The third proportional to 7,355.81 and 15,630.47 is: 33,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,355.81 : 15,630.47 = 15,630.47 : x
  2. Step 2: Convert to fraction form
    7,355.81/15,630.47 = 15,630.47/x
  3. Step 3: Cross multiply
    7,355.81x = 15,630.47 × 15,630.47
  4. Step 4: Simplify right side
    7,355.81x = 244,311,553.34
  5. Step 5: Solve for x
    x = 244,311,553.34/7,355.81
  6. Step 6: Final answer
    x = 33,213.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.