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Finding the Third Proportional to 29,357.44 and 68,590.13

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Solution

The third proportional to 29,357.44 and 68,590.13 is: 160,252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,357.44 : 68,590.13 = 68,590.13 : x
  2. Step 2: Convert to fraction form
    29,357.44/68,590.13 = 68,590.13/x
  3. Step 3: Cross multiply
    29,357.44x = 68,590.13 × 68,590.13
  4. Step 4: Simplify right side
    29,357.44x = 4,704,605,247.52
  5. Step 5: Solve for x
    x = 4,704,605,247.52/29,357.44
  6. Step 6: Final answer
    x = 160,252.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.