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Finding the Third Proportional to 27,135 and 41,566.50

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Solution

The third proportional to 27,135 and 41,566.50 is: 63,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,135 : 41,566.50 = 41,566.50 : x
  2. Step 2: Convert to fraction form
    27,135/41,566.50 = 41,566.50/x
  3. Step 3: Cross multiply
    27,135x = 41,566.50 × 41,566.50
  4. Step 4: Simplify right side
    27,135x = 1,727,773,922.25
  5. Step 5: Solve for x
    x = 1,727,773,922.25/27,135
  6. Step 6: Final answer
    x = 63,673.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.