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Finding the Third Proportional to 35,550.14 and 78,492.80

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Solution

The third proportional to 35,550.14 and 78,492.80 is: 173,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,550.14 : 78,492.80 = 78,492.80 : x
  2. Step 2: Convert to fraction form
    35,550.14/78,492.80 = 78,492.80/x
  3. Step 3: Cross multiply
    35,550.14x = 78,492.80 × 78,492.80
  4. Step 4: Simplify right side
    35,550.14x = 6,161,119,161.26
  5. Step 5: Solve for x
    x = 6,161,119,161.26/35,550.14
  6. Step 6: Final answer
    x = 173,307.87

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.