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Finding the Third Proportional to 39,510 and 61,011

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Solution

The third proportional to 39,510 and 61,011 is: 94,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,510 : 61,011 = 61,011 : x
  2. Step 2: Convert to fraction form
    39,510/61,011 = 61,011/x
  3. Step 3: Cross multiply
    39,510x = 61,011 × 61,011
  4. Step 4: Simplify right side
    39,510x = 3,722,342,121
  5. Step 5: Solve for x
    x = 3,722,342,121/39,510
  6. Step 6: Final answer
    x = 94,212.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.