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Finding the Third Proportional to 14,492 and 31,430

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Solution

The third proportional to 14,492 and 31,430 is: 68,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492 : 31,430 = 31,430 : x
  2. Step 2: Convert to fraction form
    14,492/31,430 = 31,430/x
  3. Step 3: Cross multiply
    14,492x = 31,430 × 31,430
  4. Step 4: Simplify right side
    14,492x = 987,844,900
  5. Step 5: Solve for x
    x = 987,844,900/14,492
  6. Step 6: Final answer
    x = 68,164.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.