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Finding the Third Proportional to 7,430 and 17,938

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Solution

The third proportional to 7,430 and 17,938 is: 43,307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430 : 17,938 = 17,938 : x
  2. Step 2: Convert to fraction form
    7,430/17,938 = 17,938/x
  3. Step 3: Cross multiply
    7,430x = 17,938 × 17,938
  4. Step 4: Simplify right side
    7,430x = 321,771,844
  5. Step 5: Solve for x
    x = 321,771,844/7,430
  6. Step 6: Final answer
    x = 43,307.11

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.