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Finding the Third Proportional to 39,072 and 61,248

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Solution

The third proportional to 39,072 and 61,248 is: 96,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,072 : 61,248 = 61,248 : x
  2. Step 2: Convert to fraction form
    39,072/61,248 = 61,248/x
  3. Step 3: Cross multiply
    39,072x = 61,248 × 61,248
  4. Step 4: Simplify right side
    39,072x = 3,751,317,504
  5. Step 5: Solve for x
    x = 3,751,317,504/39,072
  6. Step 6: Final answer
    x = 96,010.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.