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Finding the Third Proportional to 13,260 and 17,210

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Solution

The third proportional to 13,260 and 17,210 is: 22,336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,260 : 17,210 = 17,210 : x
  2. Step 2: Convert to fraction form
    13,260/17,210 = 17,210/x
  3. Step 3: Cross multiply
    13,260x = 17,210 × 17,210
  4. Step 4: Simplify right side
    13,260x = 296,184,100
  5. Step 5: Solve for x
    x = 296,184,100/13,260
  6. Step 6: Final answer
    x = 22,336.66

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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.