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Finding the Third Proportional to 48,960 and 76,326

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Solution

The third proportional to 48,960 and 76,326 is: 118,988.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,960 : 76,326 = 76,326 : x
  2. Step 2: Convert to fraction form
    48,960/76,326 = 76,326/x
  3. Step 3: Cross multiply
    48,960x = 76,326 × 76,326
  4. Step 4: Simplify right side
    48,960x = 5,825,658,276
  5. Step 5: Solve for x
    x = 5,825,658,276/48,960
  6. Step 6: Final answer
    x = 118,988.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.