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Finding the Third Proportional to 4,220.23 and 9,858.59

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Solution

The third proportional to 4,220.23 and 9,858.59 is: 23,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.23 : 9,858.59 = 9,858.59 : x
  2. Step 2: Convert to fraction form
    4,220.23/9,858.59 = 9,858.59/x
  3. Step 3: Cross multiply
    4,220.23x = 9,858.59 × 9,858.59
  4. Step 4: Simplify right side
    4,220.23x = 97,191,716.69
  5. Step 5: Solve for x
    x = 97,191,716.69/4,220.23
  6. Step 6: Final answer
    x = 23,029.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.