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Finding the Third Proportional to 30,795.50 and 66,398.50

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Solution

The third proportional to 30,795.50 and 66,398.50 is: 143,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,795.50 : 66,398.50 = 66,398.50 : x
  2. Step 2: Convert to fraction form
    30,795.50/66,398.50 = 66,398.50/x
  3. Step 3: Cross multiply
    30,795.50x = 66,398.50 × 66,398.50
  4. Step 4: Simplify right side
    30,795.50x = 4,408,760,802.25
  5. Step 5: Solve for x
    x = 4,408,760,802.25/30,795.50
  6. Step 6: Final answer
    x = 143,162.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.