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Finding the Third Proportional to 22,302 and 43,969.50

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Solution

The third proportional to 22,302 and 43,969.50 is: 86,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302 : 43,969.50 = 43,969.50 : x
  2. Step 2: Convert to fraction form
    22,302/43,969.50 = 43,969.50/x
  3. Step 3: Cross multiply
    22,302x = 43,969.50 × 43,969.50
  4. Step 4: Simplify right side
    22,302x = 1,933,316,930.25
  5. Step 5: Solve for x
    x = 1,933,316,930.25/22,302
  6. Step 6: Final answer
    x = 86,688.05

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.