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Finding the Third Proportional to 13,001.50 and 28,163

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Solution

The third proportional to 13,001.50 and 28,163 is: 61,004.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.50 : 28,163 = 28,163 : x
  2. Step 2: Convert to fraction form
    13,001.50/28,163 = 28,163/x
  3. Step 3: Cross multiply
    13,001.50x = 28,163 × 28,163
  4. Step 4: Simplify right side
    13,001.50x = 793,154,569
  5. Step 5: Solve for x
    x = 793,154,569/13,001.50
  6. Step 6: Final answer
    x = 61,004.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.