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Finding the Third Proportional to 961.08 and 1,482.21

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Solution

The third proportional to 961.08 and 1,482.21 is: 2,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.08 : 1,482.21 = 1,482.21 : x
  2. Step 2: Convert to fraction form
    961.08/1,482.21 = 1,482.21/x
  3. Step 3: Cross multiply
    961.08x = 1,482.21 × 1,482.21
  4. Step 4: Simplify right side
    961.08x = 2,196,931.89
  5. Step 5: Solve for x
    x = 2,196,931.89/961.08
  6. Step 6: Final answer
    x = 2,285.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.