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Finding the Third Proportional to 15,128 and 23,012

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Solution

The third proportional to 15,128 and 23,012 is: 35,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,128 : 23,012 = 23,012 : x
  2. Step 2: Convert to fraction form
    15,128/23,012 = 23,012/x
  3. Step 3: Cross multiply
    15,128x = 23,012 × 23,012
  4. Step 4: Simplify right side
    15,128x = 529,552,144
  5. Step 5: Solve for x
    x = 529,552,144/15,128
  6. Step 6: Final answer
    x = 35,004.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.