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Finding the Third Proportional to 7,041.50 and 14,447

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Solution

The third proportional to 7,041.50 and 14,447 is: 29,640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.50 : 14,447 = 14,447 : x
  2. Step 2: Convert to fraction form
    7,041.50/14,447 = 14,447/x
  3. Step 3: Cross multiply
    7,041.50x = 14,447 × 14,447
  4. Step 4: Simplify right side
    7,041.50x = 208,715,809
  5. Step 5: Solve for x
    x = 208,715,809/7,041.50
  6. Step 6: Final answer
    x = 29,640.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.