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Finding the Third Proportional to 13,316 and 17,294

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Solution

The third proportional to 13,316 and 17,294 is: 22,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,316 : 17,294 = 17,294 : x
  2. Step 2: Convert to fraction form
    13,316/17,294 = 17,294/x
  3. Step 3: Cross multiply
    13,316x = 17,294 × 17,294
  4. Step 4: Simplify right side
    13,316x = 299,082,436
  5. Step 5: Solve for x
    x = 299,082,436/13,316
  6. Step 6: Final answer
    x = 22,460.38

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.