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Finding the Third Proportional to 7,477.31 and 10,467.56

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Solution

The third proportional to 7,477.31 and 10,467.56 is: 14,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.31 : 10,467.56 = 10,467.56 : x
  2. Step 2: Convert to fraction form
    7,477.31/10,467.56 = 10,467.56/x
  3. Step 3: Cross multiply
    7,477.31x = 10,467.56 × 10,467.56
  4. Step 4: Simplify right side
    7,477.31x = 109,569,864.69
  5. Step 5: Solve for x
    x = 109,569,864.69/7,477.31
  6. Step 6: Final answer
    x = 14,653.64

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.