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Finding the Third Proportional to 7,007.16 and 10,410.94

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Solution

The third proportional to 7,007.16 and 10,410.94 is: 15,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.16 : 10,410.94 = 10,410.94 : x
  2. Step 2: Convert to fraction form
    7,007.16/10,410.94 = 10,410.94/x
  3. Step 3: Cross multiply
    7,007.16x = 10,410.94 × 10,410.94
  4. Step 4: Simplify right side
    7,007.16x = 108,387,619.63
  5. Step 5: Solve for x
    x = 108,387,619.63/7,007.16
  6. Step 6: Final answer
    x = 15,468.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.