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Finding the Third Proportional to 9,856 and 21,413

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Solution

The third proportional to 9,856 and 21,413 is: 46,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856 : 21,413 = 21,413 : x
  2. Step 2: Convert to fraction form
    9,856/21,413 = 21,413/x
  3. Step 3: Cross multiply
    9,856x = 21,413 × 21,413
  4. Step 4: Simplify right side
    9,856x = 458,516,569
  5. Step 5: Solve for x
    x = 458,516,569/9,856
  6. Step 6: Final answer
    x = 46,521.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.