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Finding the Third Proportional to 33,283.13 and 72,398.25

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Solution

The third proportional to 33,283.13 and 72,398.25 is: 157,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,283.13 : 72,398.25 = 72,398.25 : x
  2. Step 2: Convert to fraction form
    33,283.13/72,398.25 = 72,398.25/x
  3. Step 3: Cross multiply
    33,283.13x = 72,398.25 × 72,398.25
  4. Step 4: Simplify right side
    33,283.13x = 5,241,506,603.06
  5. Step 5: Solve for x
    x = 5,241,506,603.06/33,283.13
  6. Step 6: Final answer
    x = 157,482.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.