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Finding the Third Proportional to 4,681.55 and 10,764.14

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Solution

The third proportional to 4,681.55 and 10,764.14 is: 24,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.55 : 10,764.14 = 10,764.14 : x
  2. Step 2: Convert to fraction form
    4,681.55/10,764.14 = 10,764.14/x
  3. Step 3: Cross multiply
    4,681.55x = 10,764.14 × 10,764.14
  4. Step 4: Simplify right side
    4,681.55x = 115,866,723.39
  5. Step 5: Solve for x
    x = 115,866,723.39/4,681.55
  6. Step 6: Final answer
    x = 24,749.67

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.