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Finding the Third Proportional to 1,563 and 3,590.25

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Solution

The third proportional to 1,563 and 3,590.25 is: 8,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563 : 3,590.25 = 3,590.25 : x
  2. Step 2: Convert to fraction form
    1,563/3,590.25 = 3,590.25/x
  3. Step 3: Cross multiply
    1,563x = 3,590.25 × 3,590.25
  4. Step 4: Simplify right side
    1,563x = 12,889,895.06
  5. Step 5: Solve for x
    x = 12,889,895.06/1,563
  6. Step 6: Final answer
    x = 8,246.89

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.