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Finding the Third Proportional to 5,052 and 7,669.50

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Solution

The third proportional to 5,052 and 7,669.50 is: 11,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052 : 7,669.50 = 7,669.50 : x
  2. Step 2: Convert to fraction form
    5,052/7,669.50 = 7,669.50/x
  3. Step 3: Cross multiply
    5,052x = 7,669.50 × 7,669.50
  4. Step 4: Simplify right side
    5,052x = 58,821,230.25
  5. Step 5: Solve for x
    x = 58,821,230.25/5,052
  6. Step 6: Final answer
    x = 11,643.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.