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Finding the Third Proportional to 23,970.94 and 53,181.56

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Solution

The third proportional to 23,970.94 and 53,181.56 is: 117,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,970.94 : 53,181.56 = 53,181.56 : x
  2. Step 2: Convert to fraction form
    23,970.94/53,181.56 = 53,181.56/x
  3. Step 3: Cross multiply
    23,970.94x = 53,181.56 × 53,181.56
  4. Step 4: Simplify right side
    23,970.94x = 2,828,278,589.94
  5. Step 5: Solve for x
    x = 2,828,278,589.94/23,970.94
  6. Step 6: Final answer
    x = 117,987.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.