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Finding the Third Proportional to 9,452.79 and 13,248.01

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Solution

The third proportional to 9,452.79 and 13,248.01 is: 18,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.79 : 13,248.01 = 13,248.01 : x
  2. Step 2: Convert to fraction form
    9,452.79/13,248.01 = 13,248.01/x
  3. Step 3: Cross multiply
    9,452.79x = 13,248.01 × 13,248.01
  4. Step 4: Simplify right side
    9,452.79x = 175,509,736.88
  5. Step 5: Solve for x
    x = 175,509,736.88/9,452.79
  6. Step 6: Final answer
    x = 18,566.97

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Why These Related Problems?

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