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Finding the Third Proportional to 13,853 and 29,690.50

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Solution

The third proportional to 13,853 and 29,690.50 is: 63,634.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853 : 29,690.50 = 29,690.50 : x
  2. Step 2: Convert to fraction form
    13,853/29,690.50 = 29,690.50/x
  3. Step 3: Cross multiply
    13,853x = 29,690.50 × 29,690.50
  4. Step 4: Simplify right side
    13,853x = 881,525,790.25
  5. Step 5: Solve for x
    x = 881,525,790.25/13,853
  6. Step 6: Final answer
    x = 63,634.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.