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Finding the Third Proportional to 2,172.44 and 4,776.88

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Solution

The third proportional to 2,172.44 and 4,776.88 is: 10,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.44 : 4,776.88 = 4,776.88 : x
  2. Step 2: Convert to fraction form
    2,172.44/4,776.88 = 4,776.88/x
  3. Step 3: Cross multiply
    2,172.44x = 4,776.88 × 4,776.88
  4. Step 4: Simplify right side
    2,172.44x = 22,818,534.77
  5. Step 5: Solve for x
    x = 22,818,534.77/2,172.44
  6. Step 6: Final answer
    x = 10,503.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.