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Finding the Third Proportional to 32,142 and 49,306

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Solution

The third proportional to 32,142 and 49,306 is: 75,635.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142 : 49,306 = 49,306 : x
  2. Step 2: Convert to fraction form
    32,142/49,306 = 49,306/x
  3. Step 3: Cross multiply
    32,142x = 49,306 × 49,306
  4. Step 4: Simplify right side
    32,142x = 2,431,081,636
  5. Step 5: Solve for x
    x = 2,431,081,636/32,142
  6. Step 6: Final answer
    x = 75,635.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.