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Finding the Third Proportional to 5,971.22 and 11,795.63

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Solution

The third proportional to 5,971.22 and 11,795.63 is: 23,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.22 : 11,795.63 = 11,795.63 : x
  2. Step 2: Convert to fraction form
    5,971.22/11,795.63 = 11,795.63/x
  3. Step 3: Cross multiply
    5,971.22x = 11,795.63 × 11,795.63
  4. Step 4: Simplify right side
    5,971.22x = 139,136,769.14
  5. Step 5: Solve for x
    x = 139,136,769.14/5,971.22
  6. Step 6: Final answer
    x = 23,301.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.