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Finding the Third Proportional to 7,608.94 and 10,473.68

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Solution

The third proportional to 7,608.94 and 10,473.68 is: 14,416.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.94 : 10,473.68 = 10,473.68 : x
  2. Step 2: Convert to fraction form
    7,608.94/10,473.68 = 10,473.68/x
  3. Step 3: Cross multiply
    7,608.94x = 10,473.68 × 10,473.68
  4. Step 4: Simplify right side
    7,608.94x = 109,697,966.20
  5. Step 5: Solve for x
    x = 109,697,966.20/7,608.94
  6. Step 6: Final answer
    x = 14,416.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.