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Finding the Third Proportional to 9,893.50 and 21,323

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Solution

The third proportional to 9,893.50 and 21,323 is: 45,956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.50 : 21,323 = 21,323 : x
  2. Step 2: Convert to fraction form
    9,893.50/21,323 = 21,323/x
  3. Step 3: Cross multiply
    9,893.50x = 21,323 × 21,323
  4. Step 4: Simplify right side
    9,893.50x = 454,670,329
  5. Step 5: Solve for x
    x = 454,670,329/9,893.50
  6. Step 6: Final answer
    x = 45,956.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.