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Finding the Third Proportional to 5,280 and 11,431.50

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Solution

The third proportional to 5,280 and 11,431.50 is: 24,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280 : 11,431.50 = 11,431.50 : x
  2. Step 2: Convert to fraction form
    5,280/11,431.50 = 11,431.50/x
  3. Step 3: Cross multiply
    5,280x = 11,431.50 × 11,431.50
  4. Step 4: Simplify right side
    5,280x = 130,679,192.25
  5. Step 5: Solve for x
    x = 130,679,192.25/5,280
  6. Step 6: Final answer
    x = 24,749.85

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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.