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Finding the Third Proportional to 12,535.88 and 29,699.44

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Solution

The third proportional to 12,535.88 and 29,699.44 is: 70,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.88 : 29,699.44 = 29,699.44 : x
  2. Step 2: Convert to fraction form
    12,535.88/29,699.44 = 29,699.44/x
  3. Step 3: Cross multiply
    12,535.88x = 29,699.44 × 29,699.44
  4. Step 4: Simplify right side
    12,535.88x = 882,056,587.82
  5. Step 5: Solve for x
    x = 882,056,587.82/12,535.88
  6. Step 6: Final answer
    x = 70,362.59

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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.