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Finding the Third Proportional to 4,712.06 and 10,152.56

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Solution

The third proportional to 4,712.06 and 10,152.56 is: 21,874.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.06 : 10,152.56 = 10,152.56 : x
  2. Step 2: Convert to fraction form
    4,712.06/10,152.56 = 10,152.56/x
  3. Step 3: Cross multiply
    4,712.06x = 10,152.56 × 10,152.56
  4. Step 4: Simplify right side
    4,712.06x = 103,074,525.32
  5. Step 5: Solve for x
    x = 103,074,525.32/4,712.06
  6. Step 6: Final answer
    x = 21,874.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.