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Finding the Third Proportional to 11,572 and 25,073

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Solution

The third proportional to 11,572 and 25,073 is: 54,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572 : 25,073 = 25,073 : x
  2. Step 2: Convert to fraction form
    11,572/25,073 = 25,073/x
  3. Step 3: Cross multiply
    11,572x = 25,073 × 25,073
  4. Step 4: Simplify right side
    11,572x = 628,655,329
  5. Step 5: Solve for x
    x = 628,655,329/11,572
  6. Step 6: Final answer
    x = 54,325.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.