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Finding the Third Proportional to 9,953.51 and 21,463.73

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Solution

The third proportional to 9,953.51 and 21,463.73 is: 46,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.51 : 21,463.73 = 21,463.73 : x
  2. Step 2: Convert to fraction form
    9,953.51/21,463.73 = 21,463.73/x
  3. Step 3: Cross multiply
    9,953.51x = 21,463.73 × 21,463.73
  4. Step 4: Simplify right side
    9,953.51x = 460,691,893.32
  5. Step 5: Solve for x
    x = 460,691,893.32/9,953.51
  6. Step 6: Final answer
    x = 46,284.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.