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Finding the Third Proportional to 4,632.42 and 10,103.40

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Solution

The third proportional to 4,632.42 and 10,103.40 is: 22,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.42 : 10,103.40 = 10,103.40 : x
  2. Step 2: Convert to fraction form
    4,632.42/10,103.40 = 10,103.40/x
  3. Step 3: Cross multiply
    4,632.42x = 10,103.40 × 10,103.40
  4. Step 4: Simplify right side
    4,632.42x = 102,078,598.32
  5. Step 5: Solve for x
    x = 102,078,598.32/4,632.42
  6. Step 6: Final answer
    x = 22,035.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.