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Finding the Third Proportional to 17,309.31 and 37,656.06

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Solution

The third proportional to 17,309.31 and 37,656.06 is: 81,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,309.31 : 37,656.06 = 37,656.06 : x
  2. Step 2: Convert to fraction form
    17,309.31/37,656.06 = 37,656.06/x
  3. Step 3: Cross multiply
    17,309.31x = 37,656.06 × 37,656.06
  4. Step 4: Simplify right side
    17,309.31x = 1,417,979,043.00
  5. Step 5: Solve for x
    x = 1,417,979,043.00/17,309.31
  6. Step 6: Final answer
    x = 81,920.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.