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Finding the Third Proportional to 5,071.50 and 10,999.13

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Solution

The third proportional to 5,071.50 and 10,999.13 is: 23,855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.50 : 10,999.13 = 10,999.13 : x
  2. Step 2: Convert to fraction form
    5,071.50/10,999.13 = 10,999.13/x
  3. Step 3: Cross multiply
    5,071.50x = 10,999.13 × 10,999.13
  4. Step 4: Simplify right side
    5,071.50x = 120,980,750.77
  5. Step 5: Solve for x
    x = 120,980,750.77/5,071.50
  6. Step 6: Final answer
    x = 23,855.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.