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Finding the Third Proportional to 5,894.02 and 12,468.94

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Solution

The third proportional to 5,894.02 and 12,468.94 is: 26,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.02 : 12,468.94 = 12,468.94 : x
  2. Step 2: Convert to fraction form
    5,894.02/12,468.94 = 12,468.94/x
  3. Step 3: Cross multiply
    5,894.02x = 12,468.94 × 12,468.94
  4. Step 4: Simplify right side
    5,894.02x = 155,474,402.38
  5. Step 5: Solve for x
    x = 155,474,402.38/5,894.02
  6. Step 6: Final answer
    x = 26,378.35

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.