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Finding the Third Proportional to 37,610.63 and 81,098.81

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Solution

The third proportional to 37,610.63 and 81,098.81 is: 174,871.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,610.63 : 81,098.81 = 81,098.81 : x
  2. Step 2: Convert to fraction form
    37,610.63/81,098.81 = 81,098.81/x
  3. Step 3: Cross multiply
    37,610.63x = 81,098.81 × 81,098.81
  4. Step 4: Simplify right side
    37,610.63x = 6,577,017,388.91
  5. Step 5: Solve for x
    x = 6,577,017,388.91/37,610.63
  6. Step 6: Final answer
    x = 174,871.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.