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Finding the Third Proportional to 37,009.50 and 79,930.50

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Solution

The third proportional to 37,009.50 and 79,930.50 is: 172,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,009.50 : 79,930.50 = 79,930.50 : x
  2. Step 2: Convert to fraction form
    37,009.50/79,930.50 = 79,930.50/x
  3. Step 3: Cross multiply
    37,009.50x = 79,930.50 × 79,930.50
  4. Step 4: Simplify right side
    37,009.50x = 6,388,884,830.25
  5. Step 5: Solve for x
    x = 6,388,884,830.25/37,009.50
  6. Step 6: Final answer
    x = 172,628.24

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