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Finding the Third Proportional to 10,896 and 23,220

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Solution

The third proportional to 10,896 and 23,220 is: 49,483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896 : 23,220 = 23,220 : x
  2. Step 2: Convert to fraction form
    10,896/23,220 = 23,220/x
  3. Step 3: Cross multiply
    10,896x = 23,220 × 23,220
  4. Step 4: Simplify right side
    10,896x = 539,168,400
  5. Step 5: Solve for x
    x = 539,168,400/10,896
  6. Step 6: Final answer
    x = 49,483.15

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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.