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Finding the Third Proportional to 9,905.63 and 21,463.31

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Solution

The third proportional to 9,905.63 and 21,463.31 is: 46,506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.63 : 21,463.31 = 21,463.31 : x
  2. Step 2: Convert to fraction form
    9,905.63/21,463.31 = 21,463.31/x
  3. Step 3: Cross multiply
    9,905.63x = 21,463.31 × 21,463.31
  4. Step 4: Simplify right side
    9,905.63x = 460,673,783.47
  5. Step 5: Solve for x
    x = 460,673,783.47/9,905.63
  6. Step 6: Final answer
    x = 46,506.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.