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Finding the Third Proportional to 13,312 and 31,376

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Solution

The third proportional to 13,312 and 31,376 is: 73,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312 : 31,376 = 31,376 : x
  2. Step 2: Convert to fraction form
    13,312/31,376 = 31,376/x
  3. Step 3: Cross multiply
    13,312x = 31,376 × 31,376
  4. Step 4: Simplify right side
    13,312x = 984,453,376
  5. Step 5: Solve for x
    x = 984,453,376/13,312
  6. Step 6: Final answer
    x = 73,952.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.