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Finding the Third Proportional to 3,166.59 and 4,929.29

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Solution

The third proportional to 3,166.59 and 4,929.29 is: 7,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.59 : 4,929.29 = 4,929.29 : x
  2. Step 2: Convert to fraction form
    3,166.59/4,929.29 = 4,929.29/x
  3. Step 3: Cross multiply
    3,166.59x = 4,929.29 × 4,929.29
  4. Step 4: Simplify right side
    3,166.59x = 24,297,929.17
  5. Step 5: Solve for x
    x = 24,297,929.17/3,166.59
  6. Step 6: Final answer
    x = 7,673.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.