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Finding the Third Proportional to 23,476 and 31,973

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Solution

The third proportional to 23,476 and 31,973 is: 43,545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,476 : 31,973 = 31,973 : x
  2. Step 2: Convert to fraction form
    23,476/31,973 = 31,973/x
  3. Step 3: Cross multiply
    23,476x = 31,973 × 31,973
  4. Step 4: Simplify right side
    23,476x = 1,022,272,729
  5. Step 5: Solve for x
    x = 1,022,272,729/23,476
  6. Step 6: Final answer
    x = 43,545.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.