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Finding the Third Proportional to 7,361 and 17,363

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Solution

The third proportional to 7,361 and 17,363 is: 40,955.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361 : 17,363 = 17,363 : x
  2. Step 2: Convert to fraction form
    7,361/17,363 = 17,363/x
  3. Step 3: Cross multiply
    7,361x = 17,363 × 17,363
  4. Step 4: Simplify right side
    7,361x = 301,473,769
  5. Step 5: Solve for x
    x = 301,473,769/7,361
  6. Step 6: Final answer
    x = 40,955.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.