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Finding the Third Proportional to 14,400 and 31,468

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Solution

The third proportional to 14,400 and 31,468 is: 68,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400 : 31,468 = 31,468 : x
  2. Step 2: Convert to fraction form
    14,400/31,468 = 31,468/x
  3. Step 3: Cross multiply
    14,400x = 31,468 × 31,468
  4. Step 4: Simplify right side
    14,400x = 990,235,024
  5. Step 5: Solve for x
    x = 990,235,024/14,400
  6. Step 6: Final answer
    x = 68,766.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.