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Finding the Third Proportional to 14,286 and 31,428

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Solution

The third proportional to 14,286 and 31,428 is: 69,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286 : 31,428 = 31,428 : x
  2. Step 2: Convert to fraction form
    14,286/31,428 = 31,428/x
  3. Step 3: Cross multiply
    14,286x = 31,428 × 31,428
  4. Step 4: Simplify right side
    14,286x = 987,719,184
  5. Step 5: Solve for x
    x = 987,719,184/14,286
  6. Step 6: Final answer
    x = 69,138.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.