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Finding the Third Proportional to 41,574 and 54,220

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Solution

The third proportional to 41,574 and 54,220 is: 70,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,574 : 54,220 = 54,220 : x
  2. Step 2: Convert to fraction form
    41,574/54,220 = 54,220/x
  3. Step 3: Cross multiply
    41,574x = 54,220 × 54,220
  4. Step 4: Simplify right side
    41,574x = 2,939,808,400
  5. Step 5: Solve for x
    x = 2,939,808,400/41,574
  6. Step 6: Final answer
    x = 70,712.67

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.