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Finding the Third Proportional to 15,114 and 32,024

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Solution

The third proportional to 15,114 and 32,024 is: 67,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114 : 32,024 = 32,024 : x
  2. Step 2: Convert to fraction form
    15,114/32,024 = 32,024/x
  3. Step 3: Cross multiply
    15,114x = 32,024 × 32,024
  4. Step 4: Simplify right side
    15,114x = 1,025,536,576
  5. Step 5: Solve for x
    x = 1,025,536,576/15,114
  6. Step 6: Final answer
    x = 67,853.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.