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Finding the Third Proportional to 7,469 and 16,393.50

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Solution

The third proportional to 7,469 and 16,393.50 is: 35,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469 : 16,393.50 = 16,393.50 : x
  2. Step 2: Convert to fraction form
    7,469/16,393.50 = 16,393.50/x
  3. Step 3: Cross multiply
    7,469x = 16,393.50 × 16,393.50
  4. Step 4: Simplify right side
    7,469x = 268,746,842.25
  5. Step 5: Solve for x
    x = 268,746,842.25/7,469
  6. Step 6: Final answer
    x = 35,981.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.