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Finding the Third Proportional to 19,219.50 and 40,719

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Solution

The third proportional to 19,219.50 and 40,719 is: 86,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,219.50 : 40,719 = 40,719 : x
  2. Step 2: Convert to fraction form
    19,219.50/40,719 = 40,719/x
  3. Step 3: Cross multiply
    19,219.50x = 40,719 × 40,719
  4. Step 4: Simplify right side
    19,219.50x = 1,658,036,961
  5. Step 5: Solve for x
    x = 1,658,036,961/19,219.50
  6. Step 6: Final answer
    x = 86,268.48

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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.