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Finding the Third Proportional to 14,432 and 31,168

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Solution

The third proportional to 14,432 and 31,168 is: 67,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432 : 31,168 = 31,168 : x
  2. Step 2: Convert to fraction form
    14,432/31,168 = 31,168/x
  3. Step 3: Cross multiply
    14,432x = 31,168 × 31,168
  4. Step 4: Simplify right side
    14,432x = 971,444,224
  5. Step 5: Solve for x
    x = 971,444,224/14,432
  6. Step 6: Final answer
    x = 67,311.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.