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Finding the Third Proportional to 14,194 and 29,858.50

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Solution

The third proportional to 14,194 and 29,858.50 is: 62,810.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194 : 29,858.50 = 29,858.50 : x
  2. Step 2: Convert to fraction form
    14,194/29,858.50 = 29,858.50/x
  3. Step 3: Cross multiply
    14,194x = 29,858.50 × 29,858.50
  4. Step 4: Simplify right side
    14,194x = 891,530,022.25
  5. Step 5: Solve for x
    x = 891,530,022.25/14,194
  6. Step 6: Final answer
    x = 62,810.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.