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Finding the Third Proportional to 36,708.19 and 59,022.42

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Solution

The third proportional to 36,708.19 and 59,022.42 is: 94,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,708.19 : 59,022.42 = 59,022.42 : x
  2. Step 2: Convert to fraction form
    36,708.19/59,022.42 = 59,022.42/x
  3. Step 3: Cross multiply
    36,708.19x = 59,022.42 × 59,022.42
  4. Step 4: Simplify right side
    36,708.19x = 3,483,646,283.99
  5. Step 5: Solve for x
    x = 3,483,646,283.99/36,708.19
  6. Step 6: Final answer
    x = 94,901.07

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.