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Finding the Third Proportional to 11,905 and 19,117.50

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Solution

The third proportional to 11,905 and 19,117.50 is: 30,699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905 : 19,117.50 = 19,117.50 : x
  2. Step 2: Convert to fraction form
    11,905/19,117.50 = 19,117.50/x
  3. Step 3: Cross multiply
    11,905x = 19,117.50 × 19,117.50
  4. Step 4: Simplify right side
    11,905x = 365,478,806.25
  5. Step 5: Solve for x
    x = 365,478,806.25/11,905
  6. Step 6: Final answer
    x = 30,699.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.