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Finding the Third Proportional to 7,021 and 10,243.50

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Solution

The third proportional to 7,021 and 10,243.50 is: 14,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021 : 10,243.50 = 10,243.50 : x
  2. Step 2: Convert to fraction form
    7,021/10,243.50 = 10,243.50/x
  3. Step 3: Cross multiply
    7,021x = 10,243.50 × 10,243.50
  4. Step 4: Simplify right side
    7,021x = 104,929,292.25
  5. Step 5: Solve for x
    x = 104,929,292.25/7,021
  6. Step 6: Final answer
    x = 14,945.06

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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.