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Finding the Third Proportional to 7,340.63 and 11,334.94

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Solution

The third proportional to 7,340.63 and 11,334.94 is: 17,502.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.63 : 11,334.94 = 11,334.94 : x
  2. Step 2: Convert to fraction form
    7,340.63/11,334.94 = 11,334.94/x
  3. Step 3: Cross multiply
    7,340.63x = 11,334.94 × 11,334.94
  4. Step 4: Simplify right side
    7,340.63x = 128,480,808.13
  5. Step 5: Solve for x
    x = 128,480,808.13/7,340.63
  6. Step 6: Final answer
    x = 17,502.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.