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Finding the Third Proportional to 9,000.50 and 13,196.75

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Solution

The third proportional to 9,000.50 and 13,196.75 is: 19,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.50 : 13,196.75 = 13,196.75 : x
  2. Step 2: Convert to fraction form
    9,000.50/13,196.75 = 13,196.75/x
  3. Step 3: Cross multiply
    9,000.50x = 13,196.75 × 13,196.75
  4. Step 4: Simplify right side
    9,000.50x = 174,154,210.56
  5. Step 5: Solve for x
    x = 174,154,210.56/9,000.50
  6. Step 6: Final answer
    x = 19,349.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.