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Finding the Third Proportional to 19,290 and 40,949.50

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Solution

The third proportional to 19,290 and 40,949.50 is: 86,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,290 : 40,949.50 = 40,949.50 : x
  2. Step 2: Convert to fraction form
    19,290/40,949.50 = 40,949.50/x
  3. Step 3: Cross multiply
    19,290x = 40,949.50 × 40,949.50
  4. Step 4: Simplify right side
    19,290x = 1,676,861,550.25
  5. Step 5: Solve for x
    x = 1,676,861,550.25/19,290
  6. Step 6: Final answer
    x = 86,929.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.