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Finding the Third Proportional to 25,333.88 and 53,948.25

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Solution

The third proportional to 25,333.88 and 53,948.25 is: 114,882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,333.88 : 53,948.25 = 53,948.25 : x
  2. Step 2: Convert to fraction form
    25,333.88/53,948.25 = 53,948.25/x
  3. Step 3: Cross multiply
    25,333.88x = 53,948.25 × 53,948.25
  4. Step 4: Simplify right side
    25,333.88x = 2,910,413,678.06
  5. Step 5: Solve for x
    x = 2,910,413,678.06/25,333.88
  6. Step 6: Final answer
    x = 114,882.29

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.