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Finding the Third Proportional to 37,509.75 and 81,459.75

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Solution

The third proportional to 37,509.75 and 81,459.75 is: 176,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,509.75 : 81,459.75 = 81,459.75 : x
  2. Step 2: Convert to fraction form
    37,509.75/81,459.75 = 81,459.75/x
  3. Step 3: Cross multiply
    37,509.75x = 81,459.75 × 81,459.75
  4. Step 4: Simplify right side
    37,509.75x = 6,635,690,870.06
  5. Step 5: Solve for x
    x = 6,635,690,870.06/37,509.75
  6. Step 6: Final answer
    x = 176,905.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.