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Finding the Third Proportional to 5,416.24 and 11,533.01

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Solution

The third proportional to 5,416.24 and 11,533.01 is: 24,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.24 : 11,533.01 = 11,533.01 : x
  2. Step 2: Convert to fraction form
    5,416.24/11,533.01 = 11,533.01/x
  3. Step 3: Cross multiply
    5,416.24x = 11,533.01 × 11,533.01
  4. Step 4: Simplify right side
    5,416.24x = 133,010,269.20
  5. Step 5: Solve for x
    x = 133,010,269.20/5,416.24
  6. Step 6: Final answer
    x = 24,557.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.