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Finding the Third Proportional to 4,564.13 and 9,857.25

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Solution

The third proportional to 4,564.13 and 9,857.25 is: 21,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.13 : 9,857.25 = 9,857.25 : x
  2. Step 2: Convert to fraction form
    4,564.13/9,857.25 = 9,857.25/x
  3. Step 3: Cross multiply
    4,564.13x = 9,857.25 × 9,857.25
  4. Step 4: Simplify right side
    4,564.13x = 97,165,377.56
  5. Step 5: Solve for x
    x = 97,165,377.56/4,564.13
  6. Step 6: Final answer
    x = 21,288.94

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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.