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Finding the Third Proportional to 13,423 and 31,201

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Solution

The third proportional to 13,423 and 31,201 is: 72,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423 : 31,201 = 31,201 : x
  2. Step 2: Convert to fraction form
    13,423/31,201 = 31,201/x
  3. Step 3: Cross multiply
    13,423x = 31,201 × 31,201
  4. Step 4: Simplify right side
    13,423x = 973,502,401
  5. Step 5: Solve for x
    x = 973,502,401/13,423
  6. Step 6: Final answer
    x = 72,524.95

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.