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Finding the Third Proportional to 15,072.19 and 32,738.25

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Solution

The third proportional to 15,072.19 and 32,738.25 is: 71,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,072.19 : 32,738.25 = 32,738.25 : x
  2. Step 2: Convert to fraction form
    15,072.19/32,738.25 = 32,738.25/x
  3. Step 3: Cross multiply
    15,072.19x = 32,738.25 × 32,738.25
  4. Step 4: Simplify right side
    15,072.19x = 1,071,793,013.06
  5. Step 5: Solve for x
    x = 1,071,793,013.06/15,072.19
  6. Step 6: Final answer
    x = 71,110.65

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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.