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Finding the Third Proportional to 5,234 and 11,323

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Solution

The third proportional to 5,234 and 11,323 is: 24,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234 : 11,323 = 11,323 : x
  2. Step 2: Convert to fraction form
    5,234/11,323 = 11,323/x
  3. Step 3: Cross multiply
    5,234x = 11,323 × 11,323
  4. Step 4: Simplify right side
    5,234x = 128,210,329
  5. Step 5: Solve for x
    x = 128,210,329/5,234
  6. Step 6: Final answer
    x = 24,495.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.