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Finding the Third Proportional to 4,968 and 13,216.50

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Solution

The third proportional to 4,968 and 13,216.50 is: 35,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968 : 13,216.50 = 13,216.50 : x
  2. Step 2: Convert to fraction form
    4,968/13,216.50 = 13,216.50/x
  3. Step 3: Cross multiply
    4,968x = 13,216.50 × 13,216.50
  4. Step 4: Simplify right side
    4,968x = 174,675,872.25
  5. Step 5: Solve for x
    x = 174,675,872.25/4,968
  6. Step 6: Final answer
    x = 35,160.20

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.