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Finding the Third Proportional to 4,892.63 and 5,621.63

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Solution

The third proportional to 4,892.63 and 5,621.63 is: 6,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.63 : 5,621.63 = 5,621.63 : x
  2. Step 2: Convert to fraction form
    4,892.63/5,621.63 = 5,621.63/x
  3. Step 3: Cross multiply
    4,892.63x = 5,621.63 × 5,621.63
  4. Step 4: Simplify right side
    4,892.63x = 31,602,667.64
  5. Step 5: Solve for x
    x = 31,602,667.64/4,892.63
  6. Step 6: Final answer
    x = 6,459.25

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.