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Finding the Third Proportional to 5,312 and 13,448

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Solution

The third proportional to 5,312 and 13,448 is: 34,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312 : 13,448 = 13,448 : x
  2. Step 2: Convert to fraction form
    5,312/13,448 = 13,448/x
  3. Step 3: Cross multiply
    5,312x = 13,448 × 13,448
  4. Step 4: Simplify right side
    5,312x = 180,848,704
  5. Step 5: Solve for x
    x = 180,848,704/5,312
  6. Step 6: Final answer
    x = 34,045.31

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.