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Finding the Third Proportional to 954.06 and 2,052.06

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Solution

The third proportional to 954.06 and 2,052.06 is: 4,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.06 : 2,052.06 = 2,052.06 : x
  2. Step 2: Convert to fraction form
    954.06/2,052.06 = 2,052.06/x
  3. Step 3: Cross multiply
    954.06x = 2,052.06 × 2,052.06
  4. Step 4: Simplify right side
    954.06x = 4,210,960.50
  5. Step 5: Solve for x
    x = 4,210,960.50/954.06
  6. Step 6: Final answer
    x = 4,413.72

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Why These Related Problems?

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