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Finding the Third Proportional to 4,827.94 and 8,386.88

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Solution

The third proportional to 4,827.94 and 8,386.88 is: 14,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.94 : 8,386.88 = 8,386.88 : x
  2. Step 2: Convert to fraction form
    4,827.94/8,386.88 = 8,386.88/x
  3. Step 3: Cross multiply
    4,827.94x = 8,386.88 × 8,386.88
  4. Step 4: Simplify right side
    4,827.94x = 70,339,672.27
  5. Step 5: Solve for x
    x = 70,339,672.27/4,827.94
  6. Step 6: Final answer
    x = 14,569.30

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.