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Finding the Third Proportional to 11,595 and 25,037

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Solution

The third proportional to 11,595 and 25,037 is: 54,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595 : 25,037 = 25,037 : x
  2. Step 2: Convert to fraction form
    11,595/25,037 = 25,037/x
  3. Step 3: Cross multiply
    11,595x = 25,037 × 25,037
  4. Step 4: Simplify right side
    11,595x = 626,851,369
  5. Step 5: Solve for x
    x = 626,851,369/11,595
  6. Step 6: Final answer
    x = 54,062.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.