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Finding the Third Proportional to 6,835.64 and 16,094.95

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Solution

The third proportional to 6,835.64 and 16,094.95 is: 37,896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.64 : 16,094.95 = 16,094.95 : x
  2. Step 2: Convert to fraction form
    6,835.64/16,094.95 = 16,094.95/x
  3. Step 3: Cross multiply
    6,835.64x = 16,094.95 × 16,094.95
  4. Step 4: Simplify right side
    6,835.64x = 259,047,516.10
  5. Step 5: Solve for x
    x = 259,047,516.10/6,835.64
  6. Step 6: Final answer
    x = 37,896.60

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.