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Finding the Third Proportional to 4,546.13 and 9,871.31

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Solution

The third proportional to 4,546.13 and 9,871.31 is: 21,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.13 : 9,871.31 = 9,871.31 : x
  2. Step 2: Convert to fraction form
    4,546.13/9,871.31 = 9,871.31/x
  3. Step 3: Cross multiply
    4,546.13x = 9,871.31 × 9,871.31
  4. Step 4: Simplify right side
    4,546.13x = 97,442,810.47
  5. Step 5: Solve for x
    x = 97,442,810.47/4,546.13
  6. Step 6: Final answer
    x = 21,434.26

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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.