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Finding the Third Proportional to 11,120 and 23,964

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Solution

The third proportional to 11,120 and 23,964 is: 51,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,120 : 23,964 = 23,964 : x
  2. Step 2: Convert to fraction form
    11,120/23,964 = 23,964/x
  3. Step 3: Cross multiply
    11,120x = 23,964 × 23,964
  4. Step 4: Simplify right side
    11,120x = 574,273,296
  5. Step 5: Solve for x
    x = 574,273,296/11,120
  6. Step 6: Final answer
    x = 51,643.28

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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.