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Finding the Third Proportional to 22,719 and 31,284

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Solution

The third proportional to 22,719 and 31,284 is: 43,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,719 : 31,284 = 31,284 : x
  2. Step 2: Convert to fraction form
    22,719/31,284 = 31,284/x
  3. Step 3: Cross multiply
    22,719x = 31,284 × 31,284
  4. Step 4: Simplify right side
    22,719x = 978,688,656
  5. Step 5: Solve for x
    x = 978,688,656/22,719
  6. Step 6: Final answer
    x = 43,077.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.