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Finding the Third Proportional to 10,898.63 and 23,540.25

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Solution

The third proportional to 10,898.63 and 23,540.25 is: 50,845.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.63 : 23,540.25 = 23,540.25 : x
  2. Step 2: Convert to fraction form
    10,898.63/23,540.25 = 23,540.25/x
  3. Step 3: Cross multiply
    10,898.63x = 23,540.25 × 23,540.25
  4. Step 4: Simplify right side
    10,898.63x = 554,143,370.06
  5. Step 5: Solve for x
    x = 554,143,370.06/10,898.63
  6. Step 6: Final answer
    x = 50,845.26

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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.