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Finding the Third Proportional to 25,788.38 and 53,946

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Solution

The third proportional to 25,788.38 and 53,946 is: 112,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,788.38 : 53,946 = 53,946 : x
  2. Step 2: Convert to fraction form
    25,788.38/53,946 = 53,946/x
  3. Step 3: Cross multiply
    25,788.38x = 53,946 × 53,946
  4. Step 4: Simplify right side
    25,788.38x = 2,910,170,916
  5. Step 5: Solve for x
    x = 2,910,170,916/25,788.38
  6. Step 6: Final answer
    x = 112,848.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.