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Finding the Third Proportional to 14,435 and 22,564

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Solution

The third proportional to 14,435 and 22,564 is: 35,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435 : 22,564 = 22,564 : x
  2. Step 2: Convert to fraction form
    14,435/22,564 = 22,564/x
  3. Step 3: Cross multiply
    14,435x = 22,564 × 22,564
  4. Step 4: Simplify right side
    14,435x = 509,134,096
  5. Step 5: Solve for x
    x = 509,134,096/14,435
  6. Step 6: Final answer
    x = 35,270.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.