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Finding the Third Proportional to 35,548 and 82,294

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Solution

The third proportional to 35,548 and 82,294 is: 190,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,548 : 82,294 = 82,294 : x
  2. Step 2: Convert to fraction form
    35,548/82,294 = 82,294/x
  3. Step 3: Cross multiply
    35,548x = 82,294 × 82,294
  4. Step 4: Simplify right side
    35,548x = 6,772,302,436
  5. Step 5: Solve for x
    x = 6,772,302,436/35,548
  6. Step 6: Final answer
    x = 190,511.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.