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Finding the Third Proportional to 37,442.25 and 79,501.50

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Solution

The third proportional to 37,442.25 and 79,501.50 is: 168,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,442.25 : 79,501.50 = 79,501.50 : x
  2. Step 2: Convert to fraction form
    37,442.25/79,501.50 = 79,501.50/x
  3. Step 3: Cross multiply
    37,442.25x = 79,501.50 × 79,501.50
  4. Step 4: Simplify right side
    37,442.25x = 6,320,488,502.25
  5. Step 5: Solve for x
    x = 6,320,488,502.25/37,442.25
  6. Step 6: Final answer
    x = 168,806.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.