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Finding the Third Proportional to 7,894.50 and 17,355

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Solution

The third proportional to 7,894.50 and 17,355 is: 38,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.50 : 17,355 = 17,355 : x
  2. Step 2: Convert to fraction form
    7,894.50/17,355 = 17,355/x
  3. Step 3: Cross multiply
    7,894.50x = 17,355 × 17,355
  4. Step 4: Simplify right side
    7,894.50x = 301,196,025
  5. Step 5: Solve for x
    x = 301,196,025/7,894.50
  6. Step 6: Final answer
    x = 38,152.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.