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Finding the Third Proportional to 8,358 and 17,416.50

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Solution

The third proportional to 8,358 and 17,416.50 is: 36,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358 : 17,416.50 = 17,416.50 : x
  2. Step 2: Convert to fraction form
    8,358/17,416.50 = 17,416.50/x
  3. Step 3: Cross multiply
    8,358x = 17,416.50 × 17,416.50
  4. Step 4: Simplify right side
    8,358x = 303,334,472.25
  5. Step 5: Solve for x
    x = 303,334,472.25/8,358
  6. Step 6: Final answer
    x = 36,292.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.