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Finding the Third Proportional to 24,985 and 33,012.25

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Solution

The third proportional to 24,985 and 33,012.25 is: 43,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,985 : 33,012.25 = 33,012.25 : x
  2. Step 2: Convert to fraction form
    24,985/33,012.25 = 33,012.25/x
  3. Step 3: Cross multiply
    24,985x = 33,012.25 × 33,012.25
  4. Step 4: Simplify right side
    24,985x = 1,089,808,650.06
  5. Step 5: Solve for x
    x = 1,089,808,650.06/24,985
  6. Step 6: Final answer
    x = 43,618.52

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.