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Finding the Third Proportional to 4,586.63 and 6,977.81

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Solution

The third proportional to 4,586.63 and 6,977.81 is: 10,615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.63 : 6,977.81 = 6,977.81 : x
  2. Step 2: Convert to fraction form
    4,586.63/6,977.81 = 6,977.81/x
  3. Step 3: Cross multiply
    4,586.63x = 6,977.81 × 6,977.81
  4. Step 4: Simplify right side
    4,586.63x = 48,689,867.29
  5. Step 5: Solve for x
    x = 48,689,867.29/4,586.63
  6. Step 6: Final answer
    x = 10,615.62

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.