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Finding the Third Proportional to 13,850 and 29,643

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Solution

The third proportional to 13,850 and 29,643 is: 63,444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850 : 29,643 = 29,643 : x
  2. Step 2: Convert to fraction form
    13,850/29,643 = 29,643/x
  3. Step 3: Cross multiply
    13,850x = 29,643 × 29,643
  4. Step 4: Simplify right side
    13,850x = 878,707,449
  5. Step 5: Solve for x
    x = 878,707,449/13,850
  6. Step 6: Final answer
    x = 63,444.58

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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.