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Finding the Third Proportional to 25,346 and 53,970

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Solution

The third proportional to 25,346 and 53,970 is: 114,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,346 : 53,970 = 53,970 : x
  2. Step 2: Convert to fraction form
    25,346/53,970 = 53,970/x
  3. Step 3: Cross multiply
    25,346x = 53,970 × 53,970
  4. Step 4: Simplify right side
    25,346x = 2,912,760,900
  5. Step 5: Solve for x
    x = 2,912,760,900/25,346
  6. Step 6: Final answer
    x = 114,919.94

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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.