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Finding the Third Proportional to 16,176 and 25,971

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Solution

The third proportional to 16,176 and 25,971 is: 41,697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176 : 25,971 = 25,971 : x
  2. Step 2: Convert to fraction form
    16,176/25,971 = 25,971/x
  3. Step 3: Cross multiply
    16,176x = 25,971 × 25,971
  4. Step 4: Simplify right side
    16,176x = 674,492,841
  5. Step 5: Solve for x
    x = 674,492,841/16,176
  6. Step 6: Final answer
    x = 41,697.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.