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Finding the Third Proportional to 7,464.66 and 16,330.36

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Solution

The third proportional to 7,464.66 and 16,330.36 is: 35,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.66 : 16,330.36 = 16,330.36 : x
  2. Step 2: Convert to fraction form
    7,464.66/16,330.36 = 16,330.36/x
  3. Step 3: Cross multiply
    7,464.66x = 16,330.36 × 16,330.36
  4. Step 4: Simplify right side
    7,464.66x = 266,680,637.32
  5. Step 5: Solve for x
    x = 266,680,637.32/7,464.66
  6. Step 6: Final answer
    x = 35,725.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.