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Finding the Third Proportional to 7,848.14 and 11,584.27

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Solution

The third proportional to 7,848.14 and 11,584.27 is: 17,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.14 : 11,584.27 = 11,584.27 : x
  2. Step 2: Convert to fraction form
    7,848.14/11,584.27 = 11,584.27/x
  3. Step 3: Cross multiply
    7,848.14x = 11,584.27 × 11,584.27
  4. Step 4: Simplify right side
    7,848.14x = 134,195,210.07
  5. Step 5: Solve for x
    x = 134,195,210.07/7,848.14
  6. Step 6: Final answer
    x = 17,098.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.