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Finding the Third Proportional to 27,764 and 36,030

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Solution

The third proportional to 27,764 and 36,030 is: 46,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764 : 36,030 = 36,030 : x
  2. Step 2: Convert to fraction form
    27,764/36,030 = 36,030/x
  3. Step 3: Cross multiply
    27,764x = 36,030 × 36,030
  4. Step 4: Simplify right side
    27,764x = 1,298,160,900
  5. Step 5: Solve for x
    x = 1,298,160,900/27,764
  6. Step 6: Final answer
    x = 46,756.98

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.