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Finding the Third Proportional to 5,700 and 8,629

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Solution

The third proportional to 5,700 and 8,629 is: 13,063.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700 : 8,629 = 8,629 : x
  2. Step 2: Convert to fraction form
    5,700/8,629 = 8,629/x
  3. Step 3: Cross multiply
    5,700x = 8,629 × 8,629
  4. Step 4: Simplify right side
    5,700x = 74,459,641
  5. Step 5: Solve for x
    x = 74,459,641/5,700
  6. Step 6: Final answer
    x = 13,063.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.