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Finding the Third Proportional to 7,001.50 and 10,840.75

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Solution

The third proportional to 7,001.50 and 10,840.75 is: 16,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.50 : 10,840.75 = 10,840.75 : x
  2. Step 2: Convert to fraction form
    7,001.50/10,840.75 = 10,840.75/x
  3. Step 3: Cross multiply
    7,001.50x = 10,840.75 × 10,840.75
  4. Step 4: Simplify right side
    7,001.50x = 117,521,860.56
  5. Step 5: Solve for x
    x = 117,521,860.56/7,001.50
  6. Step 6: Final answer
    x = 16,785.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.