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Finding the Third Proportional to 4,638.94 and 10,157.06

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Solution

The third proportional to 4,638.94 and 10,157.06 is: 22,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.94 : 10,157.06 = 10,157.06 : x
  2. Step 2: Convert to fraction form
    4,638.94/10,157.06 = 10,157.06/x
  3. Step 3: Cross multiply
    4,638.94x = 10,157.06 × 10,157.06
  4. Step 4: Simplify right side
    4,638.94x = 103,165,918.63
  5. Step 5: Solve for x
    x = 103,165,918.63/4,638.94
  6. Step 6: Final answer
    x = 22,239.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.