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Finding the Third Proportional to 4,927.50 and 12,062.25

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Solution

The third proportional to 4,927.50 and 12,062.25 is: 29,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.50 : 12,062.25 = 12,062.25 : x
  2. Step 2: Convert to fraction form
    4,927.50/12,062.25 = 12,062.25/x
  3. Step 3: Cross multiply
    4,927.50x = 12,062.25 × 12,062.25
  4. Step 4: Simplify right side
    4,927.50x = 145,497,875.06
  5. Step 5: Solve for x
    x = 145,497,875.06/4,927.50
  6. Step 6: Final answer
    x = 29,527.73

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.