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Finding the Third Proportional to 10,572 and 18,045

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Solution

The third proportional to 10,572 and 18,045 is: 30,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572 : 18,045 = 18,045 : x
  2. Step 2: Convert to fraction form
    10,572/18,045 = 18,045/x
  3. Step 3: Cross multiply
    10,572x = 18,045 × 18,045
  4. Step 4: Simplify right side
    10,572x = 325,622,025
  5. Step 5: Solve for x
    x = 325,622,025/10,572
  6. Step 6: Final answer
    x = 30,800.42

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.