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Finding the Third Proportional to 25,804.50 and 53,269.50

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Solution

The third proportional to 25,804.50 and 53,269.50 is: 109,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,804.50 : 53,269.50 = 53,269.50 : x
  2. Step 2: Convert to fraction form
    25,804.50/53,269.50 = 53,269.50/x
  3. Step 3: Cross multiply
    25,804.50x = 53,269.50 × 53,269.50
  4. Step 4: Simplify right side
    25,804.50x = 2,837,639,630.25
  5. Step 5: Solve for x
    x = 2,837,639,630.25/25,804.50
  6. Step 6: Final answer
    x = 109,966.85

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.