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Finding the Third Proportional to 4,603.50 and 9,984.94

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Solution

The third proportional to 4,603.50 and 9,984.94 is: 21,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.50 : 9,984.94 = 9,984.94 : x
  2. Step 2: Convert to fraction form
    4,603.50/9,984.94 = 9,984.94/x
  3. Step 3: Cross multiply
    4,603.50x = 9,984.94 × 9,984.94
  4. Step 4: Simplify right side
    4,603.50x = 99,698,976.88
  5. Step 5: Solve for x
    x = 99,698,976.88/4,603.50
  6. Step 6: Final answer
    x = 21,657.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.