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Finding the Third Proportional to 15,774 and 33,008

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Solution

The third proportional to 15,774 and 33,008 is: 69,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774 : 33,008 = 33,008 : x
  2. Step 2: Convert to fraction form
    15,774/33,008 = 33,008/x
  3. Step 3: Cross multiply
    15,774x = 33,008 × 33,008
  4. Step 4: Simplify right side
    15,774x = 1,089,528,064
  5. Step 5: Solve for x
    x = 1,089,528,064/15,774
  6. Step 6: Final answer
    x = 69,071.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.