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Finding the Third Proportional to 14,741.50 and 30,251

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Solution

The third proportional to 14,741.50 and 30,251 is: 62,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,741.50 : 30,251 = 30,251 : x
  2. Step 2: Convert to fraction form
    14,741.50/30,251 = 30,251/x
  3. Step 3: Cross multiply
    14,741.50x = 30,251 × 30,251
  4. Step 4: Simplify right side
    14,741.50x = 915,123,001
  5. Step 5: Solve for x
    x = 915,123,001/14,741.50
  6. Step 6: Final answer
    x = 62,078.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.