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Finding the Third Proportional to 5,428.27 and 8,602.45

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Solution

The third proportional to 5,428.27 and 8,602.45 is: 13,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.27 : 8,602.45 = 8,602.45 : x
  2. Step 2: Convert to fraction form
    5,428.27/8,602.45 = 8,602.45/x
  3. Step 3: Cross multiply
    5,428.27x = 8,602.45 × 8,602.45
  4. Step 4: Simplify right side
    5,428.27x = 74,002,199.77
  5. Step 5: Solve for x
    x = 74,002,199.77/5,428.27
  6. Step 6: Final answer
    x = 13,632.75

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.