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Finding the Third Proportional to 33,341.50 and 72,407

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Solution

The third proportional to 33,341.50 and 72,407 is: 157,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,341.50 : 72,407 = 72,407 : x
  2. Step 2: Convert to fraction form
    33,341.50/72,407 = 72,407/x
  3. Step 3: Cross multiply
    33,341.50x = 72,407 × 72,407
  4. Step 4: Simplify right side
    33,341.50x = 5,242,773,649
  5. Step 5: Solve for x
    x = 5,242,773,649/33,341.50
  6. Step 6: Final answer
    x = 157,244.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.