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Finding the Third Proportional to 14,610.56 and 31,954.88

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Solution

The third proportional to 14,610.56 and 31,954.88 is: 69,888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,610.56 : 31,954.88 = 31,954.88 : x
  2. Step 2: Convert to fraction form
    14,610.56/31,954.88 = 31,954.88/x
  3. Step 3: Cross multiply
    14,610.56x = 31,954.88 × 31,954.88
  4. Step 4: Simplify right side
    14,610.56x = 1,021,114,036.27
  5. Step 5: Solve for x
    x = 1,021,114,036.27/14,610.56
  6. Step 6: Final answer
    x = 69,888.76

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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.