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Finding the Third Proportional to 4,623.50 and 7,353.75

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Solution

The third proportional to 4,623.50 and 7,353.75 is: 11,696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,623.50 : 7,353.75 = 7,353.75 : x
  2. Step 2: Convert to fraction form
    4,623.50/7,353.75 = 7,353.75/x
  3. Step 3: Cross multiply
    4,623.50x = 7,353.75 × 7,353.75
  4. Step 4: Simplify right side
    4,623.50x = 54,077,639.06
  5. Step 5: Solve for x
    x = 54,077,639.06/4,623.50
  6. Step 6: Final answer
    x = 11,696.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.