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Finding the Third Proportional to 13,202 and 17,778

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Solution

The third proportional to 13,202 and 17,778 is: 23,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202 : 17,778 = 17,778 : x
  2. Step 2: Convert to fraction form
    13,202/17,778 = 17,778/x
  3. Step 3: Cross multiply
    13,202x = 17,778 × 17,778
  4. Step 4: Simplify right side
    13,202x = 316,057,284
  5. Step 5: Solve for x
    x = 316,057,284/13,202
  6. Step 6: Final answer
    x = 23,940.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.