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Finding the Third Proportional to 24,091 and 36,476

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Solution

The third proportional to 24,091 and 36,476 is: 55,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,091 : 36,476 = 36,476 : x
  2. Step 2: Convert to fraction form
    24,091/36,476 = 36,476/x
  3. Step 3: Cross multiply
    24,091x = 36,476 × 36,476
  4. Step 4: Simplify right side
    24,091x = 1,330,498,576
  5. Step 5: Solve for x
    x = 1,330,498,576/24,091
  6. Step 6: Final answer
    x = 55,228.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.