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Finding the Third Proportional to 32,986.13 and 77,790.94

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Solution

The third proportional to 32,986.13 and 77,790.94 is: 183,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,986.13 : 77,790.94 = 77,790.94 : x
  2. Step 2: Convert to fraction form
    32,986.13/77,790.94 = 77,790.94/x
  3. Step 3: Cross multiply
    32,986.13x = 77,790.94 × 77,790.94
  4. Step 4: Simplify right side
    32,986.13x = 6,051,429,957.13
  5. Step 5: Solve for x
    x = 6,051,429,957.13/32,986.13
  6. Step 6: Final answer
    x = 183,453.80

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.