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Finding the Third Proportional to 24,608 and 39,174

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Solution

The third proportional to 24,608 and 39,174 is: 62,361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,608 : 39,174 = 39,174 : x
  2. Step 2: Convert to fraction form
    24,608/39,174 = 39,174/x
  3. Step 3: Cross multiply
    24,608x = 39,174 × 39,174
  4. Step 4: Simplify right side
    24,608x = 1,534,602,276
  5. Step 5: Solve for x
    x = 1,534,602,276/24,608
  6. Step 6: Final answer
    x = 62,361.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.