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Finding the Third Proportional to 40,383.56 and 83,030.06

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Solution

The third proportional to 40,383.56 and 83,030.06 is: 170,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,383.56 : 83,030.06 = 83,030.06 : x
  2. Step 2: Convert to fraction form
    40,383.56/83,030.06 = 83,030.06/x
  3. Step 3: Cross multiply
    40,383.56x = 83,030.06 × 83,030.06
  4. Step 4: Simplify right side
    40,383.56x = 6,893,991,278.75
  5. Step 5: Solve for x
    x = 6,893,991,278.75/40,383.56
  6. Step 6: Final answer
    x = 170,712.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.