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Finding the Third Proportional to 12,072 and 25,737

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Solution

The third proportional to 12,072 and 25,737 is: 54,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072 : 25,737 = 25,737 : x
  2. Step 2: Convert to fraction form
    12,072/25,737 = 25,737/x
  3. Step 3: Cross multiply
    12,072x = 25,737 × 25,737
  4. Step 4: Simplify right side
    12,072x = 662,393,169
  5. Step 5: Solve for x
    x = 662,393,169/12,072
  6. Step 6: Final answer
    x = 54,870.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.