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Finding the Third Proportional to 22,941 and 30,955.50

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Solution

The third proportional to 22,941 and 30,955.50 is: 41,769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,941 : 30,955.50 = 30,955.50 : x
  2. Step 2: Convert to fraction form
    22,941/30,955.50 = 30,955.50/x
  3. Step 3: Cross multiply
    22,941x = 30,955.50 × 30,955.50
  4. Step 4: Simplify right side
    22,941x = 958,242,980.25
  5. Step 5: Solve for x
    x = 958,242,980.25/22,941
  6. Step 6: Final answer
    x = 41,769.89

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.