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Finding the Third Proportional to 12,539.25 and 29,707.88

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Solution

The third proportional to 12,539.25 and 29,707.88 is: 70,383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,539.25 : 29,707.88 = 29,707.88 : x
  2. Step 2: Convert to fraction form
    12,539.25/29,707.88 = 29,707.88/x
  3. Step 3: Cross multiply
    12,539.25x = 29,707.88 × 29,707.88
  4. Step 4: Simplify right side
    12,539.25x = 882,557,837.02
  5. Step 5: Solve for x
    x = 882,557,837.02/12,539.25
  6. Step 6: Final answer
    x = 70,383.62

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.