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Finding the Third Proportional to 24,340.50 and 53,969.63

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Solution

The third proportional to 24,340.50 and 53,969.63 is: 119,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,340.50 : 53,969.63 = 53,969.63 : x
  2. Step 2: Convert to fraction form
    24,340.50/53,969.63 = 53,969.63/x
  3. Step 3: Cross multiply
    24,340.50x = 53,969.63 × 53,969.63
  4. Step 4: Simplify right side
    24,340.50x = 2,912,720,422.64
  5. Step 5: Solve for x
    x = 2,912,720,422.64/24,340.50
  6. Step 6: Final answer
    x = 119,665.60

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.