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Finding the Third Proportional to 25,062.75 and 53,376.75

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Solution

The third proportional to 25,062.75 and 53,376.75 is: 113,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,062.75 : 53,376.75 = 53,376.75 : x
  2. Step 2: Convert to fraction form
    25,062.75/53,376.75 = 53,376.75/x
  3. Step 3: Cross multiply
    25,062.75x = 53,376.75 × 53,376.75
  4. Step 4: Simplify right side
    25,062.75x = 2,849,077,440.56
  5. Step 5: Solve for x
    x = 2,849,077,440.56/25,062.75
  6. Step 6: Final answer
    x = 113,677.77

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Why These Related Problems?

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