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Finding the Third Proportional to 12,051 and 28,153.50

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Solution

The third proportional to 12,051 and 28,153.50 is: 65,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051 : 28,153.50 = 28,153.50 : x
  2. Step 2: Convert to fraction form
    12,051/28,153.50 = 28,153.50/x
  3. Step 3: Cross multiply
    12,051x = 28,153.50 × 28,153.50
  4. Step 4: Simplify right side
    12,051x = 792,619,562.25
  5. Step 5: Solve for x
    x = 792,619,562.25/12,051
  6. Step 6: Final answer
    x = 65,772.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.