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Finding the Third Proportional to 7,242.75 and 15,263.86

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Solution

The third proportional to 7,242.75 and 15,263.86 is: 32,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.75 : 15,263.86 = 15,263.86 : x
  2. Step 2: Convert to fraction form
    7,242.75/15,263.86 = 15,263.86/x
  3. Step 3: Cross multiply
    7,242.75x = 15,263.86 × 15,263.86
  4. Step 4: Simplify right side
    7,242.75x = 232,985,403.02
  5. Step 5: Solve for x
    x = 232,985,403.02/7,242.75
  6. Step 6: Final answer
    x = 32,168.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.