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Finding the Third Proportional to 29,538 and 39,791

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Solution

The third proportional to 29,538 and 39,791 is: 53,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538 : 39,791 = 39,791 : x
  2. Step 2: Convert to fraction form
    29,538/39,791 = 39,791/x
  3. Step 3: Cross multiply
    29,538x = 39,791 × 39,791
  4. Step 4: Simplify right side
    29,538x = 1,583,323,681
  5. Step 5: Solve for x
    x = 1,583,323,681/29,538
  6. Step 6: Final answer
    x = 53,602.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.