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Finding the Third Proportional to 962.77 and 2,079.14

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Solution

The third proportional to 962.77 and 2,079.14 is: 4,490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.77 : 2,079.14 = 2,079.14 : x
  2. Step 2: Convert to fraction form
    962.77/2,079.14 = 2,079.14/x
  3. Step 3: Cross multiply
    962.77x = 2,079.14 × 2,079.14
  4. Step 4: Simplify right side
    962.77x = 4,322,825.74
  5. Step 5: Solve for x
    x = 4,322,825.74/962.77
  6. Step 6: Final answer
    x = 4,490.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.