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Finding the Third Proportional to 12,964 and 14,908

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Solution

The third proportional to 12,964 and 14,908 is: 17,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964 : 14,908 = 14,908 : x
  2. Step 2: Convert to fraction form
    12,964/14,908 = 14,908/x
  3. Step 3: Cross multiply
    12,964x = 14,908 × 14,908
  4. Step 4: Simplify right side
    12,964x = 222,248,464
  5. Step 5: Solve for x
    x = 222,248,464/12,964
  6. Step 6: Final answer
    x = 17,143.51

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.