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Finding the Third Proportional to 35,498 and 74,272

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Solution

The third proportional to 35,498 and 74,272 is: 155,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,498 : 74,272 = 74,272 : x
  2. Step 2: Convert to fraction form
    35,498/74,272 = 74,272/x
  3. Step 3: Cross multiply
    35,498x = 74,272 × 74,272
  4. Step 4: Simplify right side
    35,498x = 5,516,329,984
  5. Step 5: Solve for x
    x = 5,516,329,984/35,498
  6. Step 6: Final answer
    x = 155,398.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.