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Finding the Third Proportional to 13,206 and 28,688

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Solution

The third proportional to 13,206 and 28,688 is: 62,320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206 : 28,688 = 28,688 : x
  2. Step 2: Convert to fraction form
    13,206/28,688 = 28,688/x
  3. Step 3: Cross multiply
    13,206x = 28,688 × 28,688
  4. Step 4: Simplify right side
    13,206x = 823,001,344
  5. Step 5: Solve for x
    x = 823,001,344/13,206
  6. Step 6: Final answer
    x = 62,320.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.