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Finding the Third Proportional to 9,913.97 and 21,461.34

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Solution

The third proportional to 9,913.97 and 21,461.34 is: 46,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.97 : 21,461.34 = 21,461.34 : x
  2. Step 2: Convert to fraction form
    9,913.97/21,461.34 = 21,461.34/x
  3. Step 3: Cross multiply
    9,913.97x = 21,461.34 × 21,461.34
  4. Step 4: Simplify right side
    9,913.97x = 460,589,275.56
  5. Step 5: Solve for x
    x = 460,589,275.56/9,913.97
  6. Step 6: Final answer
    x = 46,458.62

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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.