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Finding the Third Proportional to 25,304.50 and 53,722.38

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Solution

The third proportional to 25,304.50 and 53,722.38 is: 114,054.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,304.50 : 53,722.38 = 53,722.38 : x
  2. Step 2: Convert to fraction form
    25,304.50/53,722.38 = 53,722.38/x
  3. Step 3: Cross multiply
    25,304.50x = 53,722.38 × 53,722.38
  4. Step 4: Simplify right side
    25,304.50x = 2,886,093,575.64
  5. Step 5: Solve for x
    x = 2,886,093,575.64/25,304.50
  6. Step 6: Final answer
    x = 114,054.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.