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Finding the Third Proportional to 14,025 and 29,996

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Solution

The third proportional to 14,025 and 29,996 is: 64,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,025 : 29,996 = 29,996 : x
  2. Step 2: Convert to fraction form
    14,025/29,996 = 29,996/x
  3. Step 3: Cross multiply
    14,025x = 29,996 × 29,996
  4. Step 4: Simplify right side
    14,025x = 899,760,016
  5. Step 5: Solve for x
    x = 899,760,016/14,025
  6. Step 6: Final answer
    x = 64,154.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.