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Finding the Third Proportional to 4,698 and 10,021.50

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Solution

The third proportional to 4,698 and 10,021.50 is: 21,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698 : 10,021.50 = 10,021.50 : x
  2. Step 2: Convert to fraction form
    4,698/10,021.50 = 10,021.50/x
  3. Step 3: Cross multiply
    4,698x = 10,021.50 × 10,021.50
  4. Step 4: Simplify right side
    4,698x = 100,430,462.25
  5. Step 5: Solve for x
    x = 100,430,462.25/4,698
  6. Step 6: Final answer
    x = 21,377.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.