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Finding the Third Proportional to 14,376 and 34,964

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Solution

The third proportional to 14,376 and 34,964 is: 85,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376 : 34,964 = 34,964 : x
  2. Step 2: Convert to fraction form
    14,376/34,964 = 34,964/x
  3. Step 3: Cross multiply
    14,376x = 34,964 × 34,964
  4. Step 4: Simplify right side
    14,376x = 1,222,481,296
  5. Step 5: Solve for x
    x = 1,222,481,296/14,376
  6. Step 6: Final answer
    x = 85,036.26

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.