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Finding the Third Proportional to 10,021 and 24,107.50

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Solution

The third proportional to 10,021 and 24,107.50 is: 57,995.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021 : 24,107.50 = 24,107.50 : x
  2. Step 2: Convert to fraction form
    10,021/24,107.50 = 24,107.50/x
  3. Step 3: Cross multiply
    10,021x = 24,107.50 × 24,107.50
  4. Step 4: Simplify right side
    10,021x = 581,171,556.25
  5. Step 5: Solve for x
    x = 581,171,556.25/10,021
  6. Step 6: Final answer
    x = 57,995.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.