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Finding the Third Proportional to 12,929 and 27,837.50

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Solution

The third proportional to 12,929 and 27,837.50 is: 59,937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,929 : 27,837.50 = 27,837.50 : x
  2. Step 2: Convert to fraction form
    12,929/27,837.50 = 27,837.50/x
  3. Step 3: Cross multiply
    12,929x = 27,837.50 × 27,837.50
  4. Step 4: Simplify right side
    12,929x = 774,926,406.25
  5. Step 5: Solve for x
    x = 774,926,406.25/12,929
  6. Step 6: Final answer
    x = 59,937.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.