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Finding the Third Proportional to 33,971.19 and 72,053.13

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Solution

The third proportional to 33,971.19 and 72,053.13 is: 152,825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,971.19 : 72,053.13 = 72,053.13 : x
  2. Step 2: Convert to fraction form
    33,971.19/72,053.13 = 72,053.13/x
  3. Step 3: Cross multiply
    33,971.19x = 72,053.13 × 72,053.13
  4. Step 4: Simplify right side
    33,971.19x = 5,191,652,822.27
  5. Step 5: Solve for x
    x = 5,191,652,822.27/33,971.19
  6. Step 6: Final answer
    x = 152,825.18

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.