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Finding the Third Proportional to 15,407 and 33,004

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Solution

The third proportional to 15,407 and 33,004 is: 70,699.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407 : 33,004 = 33,004 : x
  2. Step 2: Convert to fraction form
    15,407/33,004 = 33,004/x
  3. Step 3: Cross multiply
    15,407x = 33,004 × 33,004
  4. Step 4: Simplify right side
    15,407x = 1,089,264,016
  5. Step 5: Solve for x
    x = 1,089,264,016/15,407
  6. Step 6: Final answer
    x = 70,699.29

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Why These Related Problems?

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