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Finding the Third Proportional to 27,153 and 40,902.75

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Solution

The third proportional to 27,153 and 40,902.75 is: 61,615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,153 : 40,902.75 = 40,902.75 : x
  2. Step 2: Convert to fraction form
    27,153/40,902.75 = 40,902.75/x
  3. Step 3: Cross multiply
    27,153x = 40,902.75 × 40,902.75
  4. Step 4: Simplify right side
    27,153x = 1,673,034,957.56
  5. Step 5: Solve for x
    x = 1,673,034,957.56/27,153
  6. Step 6: Final answer
    x = 61,615.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.