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Finding the Third Proportional to 7,264.69 and 15,911.86

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Solution

The third proportional to 7,264.69 and 15,911.86 is: 34,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.69 : 15,911.86 = 15,911.86 : x
  2. Step 2: Convert to fraction form
    7,264.69/15,911.86 = 15,911.86/x
  3. Step 3: Cross multiply
    7,264.69x = 15,911.86 × 15,911.86
  4. Step 4: Simplify right side
    7,264.69x = 253,187,268.77
  5. Step 5: Solve for x
    x = 253,187,268.77/7,264.69
  6. Step 6: Final answer
    x = 34,851.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.