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Finding the Third Proportional to 37,664.28 and 81,094.16

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Solution

The third proportional to 37,664.28 and 81,094.16 is: 174,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,664.28 : 81,094.16 = 81,094.16 : x
  2. Step 2: Convert to fraction form
    37,664.28/81,094.16 = 81,094.16/x
  3. Step 3: Cross multiply
    37,664.28x = 81,094.16 × 81,094.16
  4. Step 4: Simplify right side
    37,664.28x = 6,576,263,472.22
  5. Step 5: Solve for x
    x = 6,576,263,472.22/37,664.28
  6. Step 6: Final answer
    x = 174,602.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.