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Finding the Third Proportional to 10,014.75 and 23,183.63

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Solution

The third proportional to 10,014.75 and 23,183.63 is: 53,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.75 : 23,183.63 = 23,183.63 : x
  2. Step 2: Convert to fraction form
    10,014.75/23,183.63 = 23,183.63/x
  3. Step 3: Cross multiply
    10,014.75x = 23,183.63 × 23,183.63
  4. Step 4: Simplify right side
    10,014.75x = 537,480,468.14
  5. Step 5: Solve for x
    x = 537,480,468.14/10,014.75
  6. Step 6: Final answer
    x = 53,668.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.