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Finding the Third Proportional to 39,011 and 58,862

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Solution

The third proportional to 39,011 and 58,862 is: 88,814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,011 : 58,862 = 58,862 : x
  2. Step 2: Convert to fraction form
    39,011/58,862 = 58,862/x
  3. Step 3: Cross multiply
    39,011x = 58,862 × 58,862
  4. Step 4: Simplify right side
    39,011x = 3,464,735,044
  5. Step 5: Solve for x
    x = 3,464,735,044/39,011
  6. Step 6: Final answer
    x = 88,814.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.