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Finding the Third Proportional to 37,445.63 and 81,503.30

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Solution

The third proportional to 37,445.63 and 81,503.30 is: 177,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,445.63 : 81,503.30 = 81,503.30 : x
  2. Step 2: Convert to fraction form
    37,445.63/81,503.30 = 81,503.30/x
  3. Step 3: Cross multiply
    37,445.63x = 81,503.30 × 81,503.30
  4. Step 4: Simplify right side
    37,445.63x = 6,642,787,401.49
  5. Step 5: Solve for x
    x = 6,642,787,401.49/37,445.63
  6. Step 6: Final answer
    x = 177,398.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.