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Finding the Third Proportional to 9,299.50 and 13,037

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Solution

The third proportional to 9,299.50 and 13,037 is: 18,276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.50 : 13,037 = 13,037 : x
  2. Step 2: Convert to fraction form
    9,299.50/13,037 = 13,037/x
  3. Step 3: Cross multiply
    9,299.50x = 13,037 × 13,037
  4. Step 4: Simplify right side
    9,299.50x = 169,963,369
  5. Step 5: Solve for x
    x = 169,963,369/9,299.50
  6. Step 6: Final answer
    x = 18,276.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.