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Finding the Third Proportional to 23,040 and 47,043

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Solution

The third proportional to 23,040 and 47,043 is: 96,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,040 : 47,043 = 47,043 : x
  2. Step 2: Convert to fraction form
    23,040/47,043 = 47,043/x
  3. Step 3: Cross multiply
    23,040x = 47,043 × 47,043
  4. Step 4: Simplify right side
    23,040x = 2,213,043,849
  5. Step 5: Solve for x
    x = 2,213,043,849/23,040
  6. Step 6: Final answer
    x = 96,052.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.