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Finding the Third Proportional to 6,142 and 12,428

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Solution

The third proportional to 6,142 and 12,428 is: 25,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142 : 12,428 = 12,428 : x
  2. Step 2: Convert to fraction form
    6,142/12,428 = 12,428/x
  3. Step 3: Cross multiply
    6,142x = 12,428 × 12,428
  4. Step 4: Simplify right side
    6,142x = 154,455,184
  5. Step 5: Solve for x
    x = 154,455,184/6,142
  6. Step 6: Final answer
    x = 25,147.38

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.