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Finding the Third Proportional to 28,768 and 64,232

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Solution

The third proportional to 28,768 and 64,232 is: 143,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,768 : 64,232 = 64,232 : x
  2. Step 2: Convert to fraction form
    28,768/64,232 = 64,232/x
  3. Step 3: Cross multiply
    28,768x = 64,232 × 64,232
  4. Step 4: Simplify right side
    28,768x = 4,125,749,824
  5. Step 5: Solve for x
    x = 4,125,749,824/28,768
  6. Step 6: Final answer
    x = 143,414.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.