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Finding the Third Proportional to 23,347.50 and 53,994.75

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Solution

The third proportional to 23,347.50 and 53,994.75 is: 124,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,347.50 : 53,994.75 = 53,994.75 : x
  2. Step 2: Convert to fraction form
    23,347.50/53,994.75 = 53,994.75/x
  3. Step 3: Cross multiply
    23,347.50x = 53,994.75 × 53,994.75
  4. Step 4: Simplify right side
    23,347.50x = 2,915,433,027.56
  5. Step 5: Solve for x
    x = 2,915,433,027.56/23,347.50
  6. Step 6: Final answer
    x = 124,871.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.