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Finding the Third Proportional to 7,548.75 and 12,476.25

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Solution

The third proportional to 7,548.75 and 12,476.25 is: 20,620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.75 : 12,476.25 = 12,476.25 : x
  2. Step 2: Convert to fraction form
    7,548.75/12,476.25 = 12,476.25/x
  3. Step 3: Cross multiply
    7,548.75x = 12,476.25 × 12,476.25
  4. Step 4: Simplify right side
    7,548.75x = 155,656,814.06
  5. Step 5: Solve for x
    x = 155,656,814.06/7,548.75
  6. Step 6: Final answer
    x = 20,620.21

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.