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Finding the Third Proportional to 14,846 and 31,346

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Solution

The third proportional to 14,846 and 31,346 is: 66,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846 : 31,346 = 31,346 : x
  2. Step 2: Convert to fraction form
    14,846/31,346 = 31,346/x
  3. Step 3: Cross multiply
    14,846x = 31,346 × 31,346
  4. Step 4: Simplify right side
    14,846x = 982,571,716
  5. Step 5: Solve for x
    x = 982,571,716/14,846
  6. Step 6: Final answer
    x = 66,184.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.