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Finding the Third Proportional to 13,212 and 28,602

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Solution

The third proportional to 13,212 and 28,602 is: 61,919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212 : 28,602 = 28,602 : x
  2. Step 2: Convert to fraction form
    13,212/28,602 = 28,602/x
  3. Step 3: Cross multiply
    13,212x = 28,602 × 28,602
  4. Step 4: Simplify right side
    13,212x = 818,074,404
  5. Step 5: Solve for x
    x = 818,074,404/13,212
  6. Step 6: Final answer
    x = 61,919.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.