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Finding the Third Proportional to 12,316.50 and 19,107

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Solution

The third proportional to 12,316.50 and 19,107 is: 29,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.50 : 19,107 = 19,107 : x
  2. Step 2: Convert to fraction form
    12,316.50/19,107 = 19,107/x
  3. Step 3: Cross multiply
    12,316.50x = 19,107 × 19,107
  4. Step 4: Simplify right side
    12,316.50x = 365,077,449
  5. Step 5: Solve for x
    x = 365,077,449/12,316.50
  6. Step 6: Final answer
    x = 29,641.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.