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Finding the Third Proportional to 12,064.50 and 25,323.75

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Solution

The third proportional to 12,064.50 and 25,323.75 is: 53,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.50 : 25,323.75 = 25,323.75 : x
  2. Step 2: Convert to fraction form
    12,064.50/25,323.75 = 25,323.75/x
  3. Step 3: Cross multiply
    12,064.50x = 25,323.75 × 25,323.75
  4. Step 4: Simplify right side
    12,064.50x = 641,292,314.06
  5. Step 5: Solve for x
    x = 641,292,314.06/12,064.50
  6. Step 6: Final answer
    x = 53,155.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.