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Finding the Third Proportional to 14,467 and 31,708

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Solution

The third proportional to 14,467 and 31,708 is: 69,495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467 : 31,708 = 31,708 : x
  2. Step 2: Convert to fraction form
    14,467/31,708 = 31,708/x
  3. Step 3: Cross multiply
    14,467x = 31,708 × 31,708
  4. Step 4: Simplify right side
    14,467x = 1,005,397,264
  5. Step 5: Solve for x
    x = 1,005,397,264/14,467
  6. Step 6: Final answer
    x = 69,495.91

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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.