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Finding the Third Proportional to 29,190.38 and 46,823.06

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Solution

The third proportional to 29,190.38 and 46,823.06 is: 75,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,190.38 : 46,823.06 = 46,823.06 : x
  2. Step 2: Convert to fraction form
    29,190.38/46,823.06 = 46,823.06/x
  3. Step 3: Cross multiply
    29,190.38x = 46,823.06 × 46,823.06
  4. Step 4: Simplify right side
    29,190.38x = 2,192,399,181.88
  5. Step 5: Solve for x
    x = 2,192,399,181.88/29,190.38
  6. Step 6: Final answer
    x = 75,106.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.