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Finding the Third Proportional to 5,072.06 and 7,412.06

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Solution

The third proportional to 5,072.06 and 7,412.06 is: 10,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.06 : 7,412.06 = 7,412.06 : x
  2. Step 2: Convert to fraction form
    5,072.06/7,412.06 = 7,412.06/x
  3. Step 3: Cross multiply
    5,072.06x = 7,412.06 × 7,412.06
  4. Step 4: Simplify right side
    5,072.06x = 54,938,670.50
  5. Step 5: Solve for x
    x = 54,938,670.50/5,072.06
  6. Step 6: Final answer
    x = 10,831.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.