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Finding the Third Proportional to 7,212 and 10,062

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Solution

The third proportional to 7,212 and 10,062 is: 14,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212 : 10,062 = 10,062 : x
  2. Step 2: Convert to fraction form
    7,212/10,062 = 10,062/x
  3. Step 3: Cross multiply
    7,212x = 10,062 × 10,062
  4. Step 4: Simplify right side
    7,212x = 101,243,844
  5. Step 5: Solve for x
    x = 101,243,844/7,212
  6. Step 6: Final answer
    x = 14,038.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.