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Finding the Third Proportional to 13,242 and 28,635

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Solution

The third proportional to 13,242 and 28,635 is: 61,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242 : 28,635 = 28,635 : x
  2. Step 2: Convert to fraction form
    13,242/28,635 = 28,635/x
  3. Step 3: Cross multiply
    13,242x = 28,635 × 28,635
  4. Step 4: Simplify right side
    13,242x = 819,963,225
  5. Step 5: Solve for x
    x = 819,963,225/13,242
  6. Step 6: Final answer
    x = 61,921.40

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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.