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Finding the Third Proportional to 14,610.84 and 31,955.44

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Solution

The third proportional to 14,610.84 and 31,955.44 is: 69,889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,610.84 : 31,955.44 = 31,955.44 : x
  2. Step 2: Convert to fraction form
    14,610.84/31,955.44 = 31,955.44/x
  3. Step 3: Cross multiply
    14,610.84x = 31,955.44 × 31,955.44
  4. Step 4: Simplify right side
    14,610.84x = 1,021,149,985.82
  5. Step 5: Solve for x
    x = 1,021,149,985.82/14,610.84
  6. Step 6: Final answer
    x = 69,889.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.