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Finding the Third Proportional to 1,130.63 and 2,723.34

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Solution

The third proportional to 1,130.63 and 2,723.34 is: 6,559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.63 : 2,723.34 = 2,723.34 : x
  2. Step 2: Convert to fraction form
    1,130.63/2,723.34 = 2,723.34/x
  3. Step 3: Cross multiply
    1,130.63x = 2,723.34 × 2,723.34
  4. Step 4: Simplify right side
    1,130.63x = 7,416,601.18
  5. Step 5: Solve for x
    x = 7,416,601.18/1,130.63
  6. Step 6: Final answer
    x = 6,559.74

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.