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Finding the Third Proportional to 2,445.91 and 5,290.63

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Solution

The third proportional to 2,445.91 and 5,290.63 is: 11,443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.91 : 5,290.63 = 5,290.63 : x
  2. Step 2: Convert to fraction form
    2,445.91/5,290.63 = 5,290.63/x
  3. Step 3: Cross multiply
    2,445.91x = 5,290.63 × 5,290.63
  4. Step 4: Simplify right side
    2,445.91x = 27,990,712.89
  5. Step 5: Solve for x
    x = 27,990,712.89/2,445.91
  6. Step 6: Final answer
    x = 11,443.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.