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Finding the Third Proportional to 35,673.61 and 76,866.05

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Solution

The third proportional to 35,673.61 and 76,866.05 is: 165,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,673.61 : 76,866.05 = 76,866.05 : x
  2. Step 2: Convert to fraction form
    35,673.61/76,866.05 = 76,866.05/x
  3. Step 3: Cross multiply
    35,673.61x = 76,866.05 × 76,866.05
  4. Step 4: Simplify right side
    35,673.61x = 5,908,389,162.19
  5. Step 5: Solve for x
    x = 5,908,389,162.19/35,673.61
  6. Step 6: Final answer
    x = 165,623.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.