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Finding the Third Proportional to 5,749.10 and 8,790.40

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Solution

The third proportional to 5,749.10 and 8,790.40 is: 13,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.10 : 8,790.40 = 8,790.40 : x
  2. Step 2: Convert to fraction form
    5,749.10/8,790.40 = 8,790.40/x
  3. Step 3: Cross multiply
    5,749.10x = 8,790.40 × 8,790.40
  4. Step 4: Simplify right side
    5,749.10x = 77,271,104.69
  5. Step 5: Solve for x
    x = 77,271,104.69/5,749.10
  6. Step 6: Final answer
    x = 13,440.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.