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Finding the Third Proportional to 4,918.50 and 7,669.13

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Solution

The third proportional to 4,918.50 and 7,669.13 is: 11,958.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,918.50 : 7,669.13 = 7,669.13 : x
  2. Step 2: Convert to fraction form
    4,918.50/7,669.13 = 7,669.13/x
  3. Step 3: Cross multiply
    4,918.50x = 7,669.13 × 7,669.13
  4. Step 4: Simplify right side
    4,918.50x = 58,815,478.27
  5. Step 5: Solve for x
    x = 58,815,478.27/4,918.50
  6. Step 6: Final answer
    x = 11,958.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.