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Finding the Third Proportional to 13,348 and 14,852

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Solution

The third proportional to 13,348 and 14,852 is: 16,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348 : 14,852 = 14,852 : x
  2. Step 2: Convert to fraction form
    13,348/14,852 = 14,852/x
  3. Step 3: Cross multiply
    13,348x = 14,852 × 14,852
  4. Step 4: Simplify right side
    13,348x = 220,581,904
  5. Step 5: Solve for x
    x = 220,581,904/13,348
  6. Step 6: Final answer
    x = 16,525.46

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.