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Finding the Third Proportional to 39,009 and 58,858.50

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Solution

The third proportional to 39,009 and 58,858.50 is: 88,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,009 : 58,858.50 = 58,858.50 : x
  2. Step 2: Convert to fraction form
    39,009/58,858.50 = 58,858.50/x
  3. Step 3: Cross multiply
    39,009x = 58,858.50 × 58,858.50
  4. Step 4: Simplify right side
    39,009x = 3,464,323,022.25
  5. Step 5: Solve for x
    x = 3,464,323,022.25/39,009
  6. Step 6: Final answer
    x = 88,808.30

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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.