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Finding the Third Proportional to 23,012 and 53,770

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Solution

The third proportional to 23,012 and 53,770 is: 125,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,012 : 53,770 = 53,770 : x
  2. Step 2: Convert to fraction form
    23,012/53,770 = 53,770/x
  3. Step 3: Cross multiply
    23,012x = 53,770 × 53,770
  4. Step 4: Simplify right side
    23,012x = 2,891,212,900
  5. Step 5: Solve for x
    x = 2,891,212,900/23,012
  6. Step 6: Final answer
    x = 125,639.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.