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Finding the Third Proportional to 9,025 and 12,047

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Solution

The third proportional to 9,025 and 12,047 is: 16,080.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025 : 12,047 = 12,047 : x
  2. Step 2: Convert to fraction form
    9,025/12,047 = 12,047/x
  3. Step 3: Cross multiply
    9,025x = 12,047 × 12,047
  4. Step 4: Simplify right side
    9,025x = 145,130,209
  5. Step 5: Solve for x
    x = 145,130,209/9,025
  6. Step 6: Final answer
    x = 16,080.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.