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Finding the Third Proportional to 11,583 and 18,037.69

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Solution

The third proportional to 11,583 and 18,037.69 is: 28,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583 : 18,037.69 = 18,037.69 : x
  2. Step 2: Convert to fraction form
    11,583/18,037.69 = 18,037.69/x
  3. Step 3: Cross multiply
    11,583x = 18,037.69 × 18,037.69
  4. Step 4: Simplify right side
    11,583x = 325,358,170.35
  5. Step 5: Solve for x
    x = 325,358,170.35/11,583
  6. Step 6: Final answer
    x = 28,089.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.