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Finding the Third Proportional to 27,948 and 61,230

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Solution

The third proportional to 27,948 and 61,230 is: 134,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,948 : 61,230 = 61,230 : x
  2. Step 2: Convert to fraction form
    27,948/61,230 = 61,230/x
  3. Step 3: Cross multiply
    27,948x = 61,230 × 61,230
  4. Step 4: Simplify right side
    27,948x = 3,749,112,900
  5. Step 5: Solve for x
    x = 3,749,112,900/27,948
  6. Step 6: Final answer
    x = 134,146.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.