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Finding the Third Proportional to 1,007.63 and 1,192.13

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Solution

The third proportional to 1,007.63 and 1,192.13 is: 1,410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.63 : 1,192.13 = 1,192.13 : x
  2. Step 2: Convert to fraction form
    1,007.63/1,192.13 = 1,192.13/x
  3. Step 3: Cross multiply
    1,007.63x = 1,192.13 × 1,192.13
  4. Step 4: Simplify right side
    1,007.63x = 1,421,162.02
  5. Step 5: Solve for x
    x = 1,421,162.02/1,007.63
  6. Step 6: Final answer
    x = 1,410.41

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.