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Finding the Third Proportional to 4,998.50 and 7,305.50

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Solution

The third proportional to 4,998.50 and 7,305.50 is: 10,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998.50 : 7,305.50 = 7,305.50 : x
  2. Step 2: Convert to fraction form
    4,998.50/7,305.50 = 7,305.50/x
  3. Step 3: Cross multiply
    4,998.50x = 7,305.50 × 7,305.50
  4. Step 4: Simplify right side
    4,998.50x = 53,370,330.25
  5. Step 5: Solve for x
    x = 53,370,330.25/4,998.50
  6. Step 6: Final answer
    x = 10,677.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.