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Finding the Third Proportional to 12,357.98 and 29,160.42

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Solution

The third proportional to 12,357.98 and 29,160.42 is: 68,808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.98 : 29,160.42 = 29,160.42 : x
  2. Step 2: Convert to fraction form
    12,357.98/29,160.42 = 29,160.42/x
  3. Step 3: Cross multiply
    12,357.98x = 29,160.42 × 29,160.42
  4. Step 4: Simplify right side
    12,357.98x = 850,330,203.93
  5. Step 5: Solve for x
    x = 850,330,203.93/12,357.98
  6. Step 6: Final answer
    x = 68,808.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.