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Finding the Third Proportional to 4,516.50 and 6,638.06

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Solution

The third proportional to 4,516.50 and 6,638.06 is: 9,756.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.50 : 6,638.06 = 6,638.06 : x
  2. Step 2: Convert to fraction form
    4,516.50/6,638.06 = 6,638.06/x
  3. Step 3: Cross multiply
    4,516.50x = 6,638.06 × 6,638.06
  4. Step 4: Simplify right side
    4,516.50x = 44,063,873.75
  5. Step 5: Solve for x
    x = 44,063,873.75/4,516.50
  6. Step 6: Final answer
    x = 9,756.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.