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Finding the Third Proportional to 7,302.38 and 10,406.25

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Solution

The third proportional to 7,302.38 and 10,406.25 is: 14,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.38 : 10,406.25 = 10,406.25 : x
  2. Step 2: Convert to fraction form
    7,302.38/10,406.25 = 10,406.25/x
  3. Step 3: Cross multiply
    7,302.38x = 10,406.25 × 10,406.25
  4. Step 4: Simplify right side
    7,302.38x = 108,290,039.06
  5. Step 5: Solve for x
    x = 108,290,039.06/7,302.38
  6. Step 6: Final answer
    x = 14,829.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.