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Finding the Third Proportional to 4,717.63 and 6,384.13

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Solution

The third proportional to 4,717.63 and 6,384.13 is: 8,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.63 : 6,384.13 = 6,384.13 : x
  2. Step 2: Convert to fraction form
    4,717.63/6,384.13 = 6,384.13/x
  3. Step 3: Cross multiply
    4,717.63x = 6,384.13 × 6,384.13
  4. Step 4: Simplify right side
    4,717.63x = 40,757,052.02
  5. Step 5: Solve for x
    x = 40,757,052.02/4,717.63
  6. Step 6: Final answer
    x = 8,639.32

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.