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Finding the Third Proportional to 10,014.88 and 23,183.75

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Solution

The third proportional to 10,014.88 and 23,183.75 is: 53,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.88 : 23,183.75 = 23,183.75 : x
  2. Step 2: Convert to fraction form
    10,014.88/23,183.75 = 23,183.75/x
  3. Step 3: Cross multiply
    10,014.88x = 23,183.75 × 23,183.75
  4. Step 4: Simplify right side
    10,014.88x = 537,486,264.06
  5. Step 5: Solve for x
    x = 537,486,264.06/10,014.88
  6. Step 6: Final answer
    x = 53,668.79

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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.