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Finding the Third Proportional to 10,014.63 and 23,183.13

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Solution

The third proportional to 10,014.63 and 23,183.13 is: 53,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.63 : 23,183.13 = 23,183.13 : x
  2. Step 2: Convert to fraction form
    10,014.63/23,183.13 = 23,183.13/x
  3. Step 3: Cross multiply
    10,014.63x = 23,183.13 × 23,183.13
  4. Step 4: Simplify right side
    10,014.63x = 537,457,284.77
  5. Step 5: Solve for x
    x = 537,457,284.77/10,014.63
  6. Step 6: Final answer
    x = 53,667.24

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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.