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Finding the Third Proportional to 31,823 and 48,572

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Solution

The third proportional to 31,823 and 48,572 is: 74,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,823 : 48,572 = 48,572 : x
  2. Step 2: Convert to fraction form
    31,823/48,572 = 48,572/x
  3. Step 3: Cross multiply
    31,823x = 48,572 × 48,572
  4. Step 4: Simplify right side
    31,823x = 2,359,239,184
  5. Step 5: Solve for x
    x = 2,359,239,184/31,823
  6. Step 6: Final answer
    x = 74,136.29

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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.