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Finding the Third Proportional to 21,631.50 and 46,719

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Solution

The third proportional to 21,631.50 and 46,719 is: 100,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,631.50 : 46,719 = 46,719 : x
  2. Step 2: Convert to fraction form
    21,631.50/46,719 = 46,719/x
  3. Step 3: Cross multiply
    21,631.50x = 46,719 × 46,719
  4. Step 4: Simplify right side
    21,631.50x = 2,182,664,961
  5. Step 5: Solve for x
    x = 2,182,664,961/21,631.50
  6. Step 6: Final answer
    x = 100,902.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.