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Finding the Third Proportional to 7,417.75 and 11,453.75

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Solution

The third proportional to 7,417.75 and 11,453.75 is: 17,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417.75 : 11,453.75 = 11,453.75 : x
  2. Step 2: Convert to fraction form
    7,417.75/11,453.75 = 11,453.75/x
  3. Step 3: Cross multiply
    7,417.75x = 11,453.75 × 11,453.75
  4. Step 4: Simplify right side
    7,417.75x = 131,188,389.06
  5. Step 5: Solve for x
    x = 131,188,389.06/7,417.75
  6. Step 6: Final answer
    x = 17,685.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.