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Finding the Third Proportional to 8,506.69 and 13,220.72

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Solution

The third proportional to 8,506.69 and 13,220.72 is: 20,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.69 : 13,220.72 = 13,220.72 : x
  2. Step 2: Convert to fraction form
    8,506.69/13,220.72 = 13,220.72/x
  3. Step 3: Cross multiply
    8,506.69x = 13,220.72 × 13,220.72
  4. Step 4: Simplify right side
    8,506.69x = 174,787,404.27
  5. Step 5: Solve for x
    x = 174,787,404.27/8,506.69
  6. Step 6: Final answer
    x = 20,547.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.