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Finding the Third Proportional to 5,677 and 12,130

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Solution

The third proportional to 5,677 and 12,130 is: 25,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677 : 12,130 = 12,130 : x
  2. Step 2: Convert to fraction form
    5,677/12,130 = 12,130/x
  3. Step 3: Cross multiply
    5,677x = 12,130 × 12,130
  4. Step 4: Simplify right side
    5,677x = 147,136,900
  5. Step 5: Solve for x
    x = 147,136,900/5,677
  6. Step 6: Final answer
    x = 25,918.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.