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Finding the Third Proportional to 9,616 and 20,712.50

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Solution

The third proportional to 9,616 and 20,712.50 is: 44,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616 : 20,712.50 = 20,712.50 : x
  2. Step 2: Convert to fraction form
    9,616/20,712.50 = 20,712.50/x
  3. Step 3: Cross multiply
    9,616x = 20,712.50 × 20,712.50
  4. Step 4: Simplify right side
    9,616x = 429,007,656.25
  5. Step 5: Solve for x
    x = 429,007,656.25/9,616
  6. Step 6: Final answer
    x = 44,613.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.