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Finding the Third Proportional to 39,735 and 86,852.25

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Solution

The third proportional to 39,735 and 86,852.25 is: 189,840.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,735 : 86,852.25 = 86,852.25 : x
  2. Step 2: Convert to fraction form
    39,735/86,852.25 = 86,852.25/x
  3. Step 3: Cross multiply
    39,735x = 86,852.25 × 86,852.25
  4. Step 4: Simplify right side
    39,735x = 7,543,313,330.06
  5. Step 5: Solve for x
    x = 7,543,313,330.06/39,735
  6. Step 6: Final answer
    x = 189,840.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.