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Finding the Third Proportional to 14,307.50 and 30,823

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Solution

The third proportional to 14,307.50 and 30,823 is: 66,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.50 : 30,823 = 30,823 : x
  2. Step 2: Convert to fraction form
    14,307.50/30,823 = 30,823/x
  3. Step 3: Cross multiply
    14,307.50x = 30,823 × 30,823
  4. Step 4: Simplify right side
    14,307.50x = 950,057,329
  5. Step 5: Solve for x
    x = 950,057,329/14,307.50
  6. Step 6: Final answer
    x = 66,402.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.