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Finding the Third Proportional to 30,082 and 44,097

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Solution

The third proportional to 30,082 and 44,097 is: 64,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082 : 44,097 = 44,097 : x
  2. Step 2: Convert to fraction form
    30,082/44,097 = 44,097/x
  3. Step 3: Cross multiply
    30,082x = 44,097 × 44,097
  4. Step 4: Simplify right side
    30,082x = 1,944,545,409
  5. Step 5: Solve for x
    x = 1,944,545,409/30,082
  6. Step 6: Final answer
    x = 64,641.49

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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.