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Finding the Third Proportional to 12,537 and 16,778.25

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Solution

The third proportional to 12,537 and 16,778.25 is: 22,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537 : 16,778.25 = 16,778.25 : x
  2. Step 2: Convert to fraction form
    12,537/16,778.25 = 16,778.25/x
  3. Step 3: Cross multiply
    12,537x = 16,778.25 × 16,778.25
  4. Step 4: Simplify right side
    12,537x = 281,509,673.06
  5. Step 5: Solve for x
    x = 281,509,673.06/12,537
  6. Step 6: Final answer
    x = 22,454.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.