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Finding the Third Proportional to 1,958.63 and 4,210.88

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Solution

The third proportional to 1,958.63 and 4,210.88 is: 9,053.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.63 : 4,210.88 = 4,210.88 : x
  2. Step 2: Convert to fraction form
    1,958.63/4,210.88 = 4,210.88/x
  3. Step 3: Cross multiply
    1,958.63x = 4,210.88 × 4,210.88
  4. Step 4: Simplify right side
    1,958.63x = 17,731,468.27
  5. Step 5: Solve for x
    x = 17,731,468.27/1,958.63
  6. Step 6: Final answer
    x = 9,053.02

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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.