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Finding the Third Proportional to 4,957.88 and 10,427.06

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Solution

The third proportional to 4,957.88 and 10,427.06 is: 21,929.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.88 : 10,427.06 = 10,427.06 : x
  2. Step 2: Convert to fraction form
    4,957.88/10,427.06 = 10,427.06/x
  3. Step 3: Cross multiply
    4,957.88x = 10,427.06 × 10,427.06
  4. Step 4: Simplify right side
    4,957.88x = 108,723,632.38
  5. Step 5: Solve for x
    x = 108,723,632.38/4,957.88
  6. Step 6: Final answer
    x = 21,929.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.