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Finding the Third Proportional to 32,858 and 48,423

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Solution

The third proportional to 32,858 and 48,423 is: 71,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,858 : 48,423 = 48,423 : x
  2. Step 2: Convert to fraction form
    32,858/48,423 = 48,423/x
  3. Step 3: Cross multiply
    32,858x = 48,423 × 48,423
  4. Step 4: Simplify right side
    32,858x = 2,344,786,929
  5. Step 5: Solve for x
    x = 2,344,786,929/32,858
  6. Step 6: Final answer
    x = 71,361.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.