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Finding the Third Proportional to 39,052.13 and 83,009.81

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Solution

The third proportional to 39,052.13 and 83,009.81 is: 176,446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,052.13 : 83,009.81 = 83,009.81 : x
  2. Step 2: Convert to fraction form
    39,052.13/83,009.81 = 83,009.81/x
  3. Step 3: Cross multiply
    39,052.13x = 83,009.81 × 83,009.81
  4. Step 4: Simplify right side
    39,052.13x = 6,890,628,971.29
  5. Step 5: Solve for x
    x = 6,890,628,971.29/39,052.13
  6. Step 6: Final answer
    x = 176,446.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.