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Finding the Third Proportional to 15,536.81 and 31,888.69

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Solution

The third proportional to 15,536.81 and 31,888.69 is: 65,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536.81 : 31,888.69 = 31,888.69 : x
  2. Step 2: Convert to fraction form
    15,536.81/31,888.69 = 31,888.69/x
  3. Step 3: Cross multiply
    15,536.81x = 31,888.69 × 31,888.69
  4. Step 4: Simplify right side
    15,536.81x = 1,016,888,390.47
  5. Step 5: Solve for x
    x = 1,016,888,390.47/15,536.81
  6. Step 6: Final answer
    x = 65,450.26

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.