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Finding the Third Proportional to 14,425 and 31,298

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Solution

The third proportional to 14,425 and 31,298 is: 67,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425 : 31,298 = 31,298 : x
  2. Step 2: Convert to fraction form
    14,425/31,298 = 31,298/x
  3. Step 3: Cross multiply
    14,425x = 31,298 × 31,298
  4. Step 4: Simplify right side
    14,425x = 979,564,804
  5. Step 5: Solve for x
    x = 979,564,804/14,425
  6. Step 6: Final answer
    x = 67,907.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.