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Finding the Third Proportional to 39,533 and 61,046

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Solution

The third proportional to 39,533 and 61,046 is: 94,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,533 : 61,046 = 61,046 : x
  2. Step 2: Convert to fraction form
    39,533/61,046 = 61,046/x
  3. Step 3: Cross multiply
    39,533x = 61,046 × 61,046
  4. Step 4: Simplify right side
    39,533x = 3,726,614,116
  5. Step 5: Solve for x
    x = 3,726,614,116/39,533
  6. Step 6: Final answer
    x = 94,265.91

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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.