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Finding the Third Proportional to 14,672 and 32,614

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Solution

The third proportional to 14,672 and 32,614 is: 72,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,672 : 32,614 = 32,614 : x
  2. Step 2: Convert to fraction form
    14,672/32,614 = 32,614/x
  3. Step 3: Cross multiply
    14,672x = 32,614 × 32,614
  4. Step 4: Simplify right side
    14,672x = 1,063,672,996
  5. Step 5: Solve for x
    x = 1,063,672,996/14,672
  6. Step 6: Final answer
    x = 72,496.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.