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Finding the Third Proportional to 9,295.50 and 13,001.63

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Solution

The third proportional to 9,295.50 and 13,001.63 is: 18,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.50 : 13,001.63 = 13,001.63 : x
  2. Step 2: Convert to fraction form
    9,295.50/13,001.63 = 13,001.63/x
  3. Step 3: Cross multiply
    9,295.50x = 13,001.63 × 13,001.63
  4. Step 4: Simplify right side
    9,295.50x = 169,042,252.64
  5. Step 5: Solve for x
    x = 169,042,252.64/9,295.50
  6. Step 6: Final answer
    x = 18,185.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.