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Finding the Third Proportional to 27,318 and 41,770.50

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Solution

The third proportional to 27,318 and 41,770.50 is: 63,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,318 : 41,770.50 = 41,770.50 : x
  2. Step 2: Convert to fraction form
    27,318/41,770.50 = 41,770.50/x
  3. Step 3: Cross multiply
    27,318x = 41,770.50 × 41,770.50
  4. Step 4: Simplify right side
    27,318x = 1,744,774,670.25
  5. Step 5: Solve for x
    x = 1,744,774,670.25/27,318
  6. Step 6: Final answer
    x = 63,869.05

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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.