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Finding the Third Proportional to 9,037 and 12,709.50

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Solution

The third proportional to 9,037 and 12,709.50 is: 17,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037 : 12,709.50 = 12,709.50 : x
  2. Step 2: Convert to fraction form
    9,037/12,709.50 = 12,709.50/x
  3. Step 3: Cross multiply
    9,037x = 12,709.50 × 12,709.50
  4. Step 4: Simplify right side
    9,037x = 161,531,390.25
  5. Step 5: Solve for x
    x = 161,531,390.25/9,037
  6. Step 6: Final answer
    x = 17,874.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.