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Finding the Third Proportional to 11,237.91 and 24,419.81

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Solution

The third proportional to 11,237.91 and 24,419.81 is: 53,063.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,237.91 : 24,419.81 = 24,419.81 : x
  2. Step 2: Convert to fraction form
    11,237.91/24,419.81 = 24,419.81/x
  3. Step 3: Cross multiply
    11,237.91x = 24,419.81 × 24,419.81
  4. Step 4: Simplify right side
    11,237.91x = 596,327,242.54
  5. Step 5: Solve for x
    x = 596,327,242.54/11,237.91
  6. Step 6: Final answer
    x = 53,063.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.