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Finding the Third Proportional to 7,848.88 and 11,000.19

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Solution

The third proportional to 7,848.88 and 11,000.19 is: 15,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.88 : 11,000.19 = 11,000.19 : x
  2. Step 2: Convert to fraction form
    7,848.88/11,000.19 = 11,000.19/x
  3. Step 3: Cross multiply
    7,848.88x = 11,000.19 × 11,000.19
  4. Step 4: Simplify right side
    7,848.88x = 121,004,125.04
  5. Step 5: Solve for x
    x = 121,004,125.04/7,848.88
  6. Step 6: Final answer
    x = 15,416.75

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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.