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Finding the Third Proportional to 37,465.98 and 80,929.37

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Solution

The third proportional to 37,465.98 and 80,929.37 is: 174,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,465.98 : 80,929.37 = 80,929.37 : x
  2. Step 2: Convert to fraction form
    37,465.98/80,929.37 = 80,929.37/x
  3. Step 3: Cross multiply
    37,465.98x = 80,929.37 × 80,929.37
  4. Step 4: Simplify right side
    37,465.98x = 6,549,563,105.63
  5. Step 5: Solve for x
    x = 6,549,563,105.63/37,465.98
  6. Step 6: Final answer
    x = 174,813.60

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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.