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Finding the Third Proportional to 19,082 and 28,072

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Solution

The third proportional to 19,082 and 28,072 is: 41,297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,082 : 28,072 = 28,072 : x
  2. Step 2: Convert to fraction form
    19,082/28,072 = 28,072/x
  3. Step 3: Cross multiply
    19,082x = 28,072 × 28,072
  4. Step 4: Simplify right side
    19,082x = 788,037,184
  5. Step 5: Solve for x
    x = 788,037,184/19,082
  6. Step 6: Final answer
    x = 41,297.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.