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Finding the Third Proportional to 15,410.25 and 33,005.25

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Solution

The third proportional to 15,410.25 and 33,005.25 is: 70,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,410.25 : 33,005.25 = 33,005.25 : x
  2. Step 2: Convert to fraction form
    15,410.25/33,005.25 = 33,005.25/x
  3. Step 3: Cross multiply
    15,410.25x = 33,005.25 × 33,005.25
  4. Step 4: Simplify right side
    15,410.25x = 1,089,346,527.56
  5. Step 5: Solve for x
    x = 1,089,346,527.56/15,410.25
  6. Step 6: Final answer
    x = 70,689.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.