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Finding the Third Proportional to 28,096 and 61,232

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Solution

The third proportional to 28,096 and 61,232 is: 133,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,096 : 61,232 = 61,232 : x
  2. Step 2: Convert to fraction form
    28,096/61,232 = 61,232/x
  3. Step 3: Cross multiply
    28,096x = 61,232 × 61,232
  4. Step 4: Simplify right side
    28,096x = 3,749,357,824
  5. Step 5: Solve for x
    x = 3,749,357,824/28,096
  6. Step 6: Final answer
    x = 133,448.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.