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Finding the Third Proportional to 7,350.75 and 15,384.94

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Solution

The third proportional to 7,350.75 and 15,384.94 is: 32,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350.75 : 15,384.94 = 15,384.94 : x
  2. Step 2: Convert to fraction form
    7,350.75/15,384.94 = 15,384.94/x
  3. Step 3: Cross multiply
    7,350.75x = 15,384.94 × 15,384.94
  4. Step 4: Simplify right side
    7,350.75x = 236,696,301.88
  5. Step 5: Solve for x
    x = 236,696,301.88/7,350.75
  6. Step 6: Final answer
    x = 32,200.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.