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Finding the Third Proportional to 1,950.64 and 4,205.99

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Solution

The third proportional to 1,950.64 and 4,205.99 is: 9,068.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.64 : 4,205.99 = 4,205.99 : x
  2. Step 2: Convert to fraction form
    1,950.64/4,205.99 = 4,205.99/x
  3. Step 3: Cross multiply
    1,950.64x = 4,205.99 × 4,205.99
  4. Step 4: Simplify right side
    1,950.64x = 17,690,337.42
  5. Step 5: Solve for x
    x = 17,690,337.42/1,950.64
  6. Step 6: Final answer
    x = 9,068.97

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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.