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Finding the Third Proportional to 24,718.50 and 58,326

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Solution

The third proportional to 24,718.50 and 58,326 is: 137,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,718.50 : 58,326 = 58,326 : x
  2. Step 2: Convert to fraction form
    24,718.50/58,326 = 58,326/x
  3. Step 3: Cross multiply
    24,718.50x = 58,326 × 58,326
  4. Step 4: Simplify right side
    24,718.50x = 3,401,922,276
  5. Step 5: Solve for x
    x = 3,401,922,276/24,718.50
  6. Step 6: Final answer
    x = 137,626.57

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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.