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Finding the Third Proportional to 37,597 and 81,071

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Solution

The third proportional to 37,597 and 81,071 is: 174,814.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,597 : 81,071 = 81,071 : x
  2. Step 2: Convert to fraction form
    37,597/81,071 = 81,071/x
  3. Step 3: Cross multiply
    37,597x = 81,071 × 81,071
  4. Step 4: Simplify right side
    37,597x = 6,572,507,041
  5. Step 5: Solve for x
    x = 6,572,507,041/37,597
  6. Step 6: Final answer
    x = 174,814.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.