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Finding the Third Proportional to 10,852.03 and 23,036.34

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Solution

The third proportional to 10,852.03 and 23,036.34 is: 48,900.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.03 : 23,036.34 = 23,036.34 : x
  2. Step 2: Convert to fraction form
    10,852.03/23,036.34 = 23,036.34/x
  3. Step 3: Cross multiply
    10,852.03x = 23,036.34 × 23,036.34
  4. Step 4: Simplify right side
    10,852.03x = 530,673,133.37
  5. Step 5: Solve for x
    x = 530,673,133.37/10,852.03
  6. Step 6: Final answer
    x = 48,900.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.