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Finding the Third Proportional to 4,666.50 and 7,097.25

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Solution

The third proportional to 4,666.50 and 7,097.25 is: 10,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.50 : 7,097.25 = 7,097.25 : x
  2. Step 2: Convert to fraction form
    4,666.50/7,097.25 = 7,097.25/x
  3. Step 3: Cross multiply
    4,666.50x = 7,097.25 × 7,097.25
  4. Step 4: Simplify right side
    4,666.50x = 50,370,957.56
  5. Step 5: Solve for x
    x = 50,370,957.56/4,666.50
  6. Step 6: Final answer
    x = 10,794.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.