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Finding the Third Proportional to 7,700.25 and 12,241.50

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Solution

The third proportional to 7,700.25 and 12,241.50 is: 19,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.25 : 12,241.50 = 12,241.50 : x
  2. Step 2: Convert to fraction form
    7,700.25/12,241.50 = 12,241.50/x
  3. Step 3: Cross multiply
    7,700.25x = 12,241.50 × 12,241.50
  4. Step 4: Simplify right side
    7,700.25x = 149,854,322.25
  5. Step 5: Solve for x
    x = 149,854,322.25/7,700.25
  6. Step 6: Final answer
    x = 19,460.97

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