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Finding the Third Proportional to 22,986.28 and 32,527.83

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Solution

The third proportional to 22,986.28 and 32,527.83 is: 46,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986.28 : 32,527.83 = 32,527.83 : x
  2. Step 2: Convert to fraction form
    22,986.28/32,527.83 = 32,527.83/x
  3. Step 3: Cross multiply
    22,986.28x = 32,527.83 × 32,527.83
  4. Step 4: Simplify right side
    22,986.28x = 1,058,059,602.53
  5. Step 5: Solve for x
    x = 1,058,059,602.53/22,986.28
  6. Step 6: Final answer
    x = 46,030.05

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.