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Finding the Third Proportional to 14,744 and 31,312

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Solution

The third proportional to 14,744 and 31,312 is: 66,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744 : 31,312 = 31,312 : x
  2. Step 2: Convert to fraction form
    14,744/31,312 = 31,312/x
  3. Step 3: Cross multiply
    14,744x = 31,312 × 31,312
  4. Step 4: Simplify right side
    14,744x = 980,441,344
  5. Step 5: Solve for x
    x = 980,441,344/14,744
  6. Step 6: Final answer
    x = 66,497.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.