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Finding the Third Proportional to 34,546.50 and 74,007

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Solution

The third proportional to 34,546.50 and 74,007 is: 158,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,546.50 : 74,007 = 74,007 : x
  2. Step 2: Convert to fraction form
    34,546.50/74,007 = 74,007/x
  3. Step 3: Cross multiply
    34,546.50x = 74,007 × 74,007
  4. Step 4: Simplify right side
    34,546.50x = 5,477,036,049
  5. Step 5: Solve for x
    x = 5,477,036,049/34,546.50
  6. Step 6: Final answer
    x = 158,540.98

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