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Finding the Third Proportional to 24,210 and 35,576.44

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Solution

The third proportional to 24,210 and 35,576.44 is: 52,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,210 : 35,576.44 = 35,576.44 : x
  2. Step 2: Convert to fraction form
    24,210/35,576.44 = 35,576.44/x
  3. Step 3: Cross multiply
    24,210x = 35,576.44 × 35,576.44
  4. Step 4: Simplify right side
    24,210x = 1,265,682,905.19
  5. Step 5: Solve for x
    x = 1,265,682,905.19/24,210
  6. Step 6: Final answer
    x = 52,279.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.