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Finding the Third Proportional to 14,329 and 31,564

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Solution

The third proportional to 14,329 and 31,564 is: 69,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,329 : 31,564 = 31,564 : x
  2. Step 2: Convert to fraction form
    14,329/31,564 = 31,564/x
  3. Step 3: Cross multiply
    14,329x = 31,564 × 31,564
  4. Step 4: Simplify right side
    14,329x = 996,286,096
  5. Step 5: Solve for x
    x = 996,286,096/14,329
  6. Step 6: Final answer
    x = 69,529.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.