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Finding the Third Proportional to 21,834 and 51,323

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Solution

The third proportional to 21,834 and 51,323 is: 120,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834 : 51,323 = 51,323 : x
  2. Step 2: Convert to fraction form
    21,834/51,323 = 51,323/x
  3. Step 3: Cross multiply
    21,834x = 51,323 × 51,323
  4. Step 4: Simplify right side
    21,834x = 2,634,050,329
  5. Step 5: Solve for x
    x = 2,634,050,329/21,834
  6. Step 6: Final answer
    x = 120,639.84

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.