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Finding the Third Proportional to 39,830 and 61,133

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Solution

The third proportional to 39,830 and 61,133 is: 93,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,830 : 61,133 = 61,133 : x
  2. Step 2: Convert to fraction form
    39,830/61,133 = 61,133/x
  3. Step 3: Cross multiply
    39,830x = 61,133 × 61,133
  4. Step 4: Simplify right side
    39,830x = 3,737,243,689
  5. Step 5: Solve for x
    x = 3,737,243,689/39,830
  6. Step 6: Final answer
    x = 93,829.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.