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Finding the Third Proportional to 4,586.63 and 8,626.50

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Solution

The third proportional to 4,586.63 and 8,626.50 is: 16,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.63 : 8,626.50 = 8,626.50 : x
  2. Step 2: Convert to fraction form
    4,586.63/8,626.50 = 8,626.50/x
  3. Step 3: Cross multiply
    4,586.63x = 8,626.50 × 8,626.50
  4. Step 4: Simplify right side
    4,586.63x = 74,416,502.25
  5. Step 5: Solve for x
    x = 74,416,502.25/4,586.63
  6. Step 6: Final answer
    x = 16,224.68

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.