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Finding the Third Proportional to 9,854 and 21,436

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Solution

The third proportional to 9,854 and 21,436 is: 46,631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854 : 21,436 = 21,436 : x
  2. Step 2: Convert to fraction form
    9,854/21,436 = 21,436/x
  3. Step 3: Cross multiply
    9,854x = 21,436 × 21,436
  4. Step 4: Simplify right side
    9,854x = 459,502,096
  5. Step 5: Solve for x
    x = 459,502,096/9,854
  6. Step 6: Final answer
    x = 46,631.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.