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Finding the Third Proportional to 21,898 and 48,476

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Solution

The third proportional to 21,898 and 48,476 is: 107,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,898 : 48,476 = 48,476 : x
  2. Step 2: Convert to fraction form
    21,898/48,476 = 48,476/x
  3. Step 3: Cross multiply
    21,898x = 48,476 × 48,476
  4. Step 4: Simplify right side
    21,898x = 2,349,922,576
  5. Step 5: Solve for x
    x = 2,349,922,576/21,898
  6. Step 6: Final answer
    x = 107,312.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.