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Finding the Third Proportional to 14,692 and 30,820

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Solution

The third proportional to 14,692 and 30,820 is: 64,652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692 : 30,820 = 30,820 : x
  2. Step 2: Convert to fraction form
    14,692/30,820 = 30,820/x
  3. Step 3: Cross multiply
    14,692x = 30,820 × 30,820
  4. Step 4: Simplify right side
    14,692x = 949,872,400
  5. Step 5: Solve for x
    x = 949,872,400/14,692
  6. Step 6: Final answer
    x = 64,652.36

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.