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Finding the Third Proportional to 31,412 and 48,576

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Solution

The third proportional to 31,412 and 48,576 is: 75,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,412 : 48,576 = 48,576 : x
  2. Step 2: Convert to fraction form
    31,412/48,576 = 48,576/x
  3. Step 3: Cross multiply
    31,412x = 48,576 × 48,576
  4. Step 4: Simplify right side
    31,412x = 2,359,627,776
  5. Step 5: Solve for x
    x = 2,359,627,776/31,412
  6. Step 6: Final answer
    x = 75,118.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.