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Finding the Third Proportional to 27,774 and 45,123.75

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Solution

The third proportional to 27,774 and 45,123.75 is: 73,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774 : 45,123.75 = 45,123.75 : x
  2. Step 2: Convert to fraction form
    27,774/45,123.75 = 45,123.75/x
  3. Step 3: Cross multiply
    27,774x = 45,123.75 × 45,123.75
  4. Step 4: Simplify right side
    27,774x = 2,036,152,814.06
  5. Step 5: Solve for x
    x = 2,036,152,814.06/27,774
  6. Step 6: Final answer
    x = 73,311.47

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.