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Finding the Third Proportional to 14,232 and 21,564

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Solution

The third proportional to 14,232 and 21,564 is: 32,673.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232 : 21,564 = 21,564 : x
  2. Step 2: Convert to fraction form
    14,232/21,564 = 21,564/x
  3. Step 3: Cross multiply
    14,232x = 21,564 × 21,564
  4. Step 4: Simplify right side
    14,232x = 465,006,096
  5. Step 5: Solve for x
    x = 465,006,096/14,232
  6. Step 6: Final answer
    x = 32,673.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.