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Finding the Third Proportional to 2,157.63 and 4,718.92

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Solution

The third proportional to 2,157.63 and 4,718.92 is: 10,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.63 : 4,718.92 = 4,718.92 : x
  2. Step 2: Convert to fraction form
    2,157.63/4,718.92 = 4,718.92/x
  3. Step 3: Cross multiply
    2,157.63x = 4,718.92 × 4,718.92
  4. Step 4: Simplify right side
    2,157.63x = 22,268,228.27
  5. Step 5: Solve for x
    x = 22,268,228.27/2,157.63
  6. Step 6: Final answer
    x = 10,320.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.