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Finding the Third Proportional to 958.63 and 2,053.88

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Solution

The third proportional to 958.63 and 2,053.88 is: 4,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.63 : 2,053.88 = 2,053.88 : x
  2. Step 2: Convert to fraction form
    958.63/2,053.88 = 2,053.88/x
  3. Step 3: Cross multiply
    958.63x = 2,053.88 × 2,053.88
  4. Step 4: Simplify right side
    958.63x = 4,218,402.52
  5. Step 5: Solve for x
    x = 4,218,402.52/958.63
  6. Step 6: Final answer
    x = 4,400.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.