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Finding the Third Proportional to 6,717.50 and 14,407

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Solution

The third proportional to 6,717.50 and 14,407 is: 30,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717.50 : 14,407 = 14,407 : x
  2. Step 2: Convert to fraction form
    6,717.50/14,407 = 14,407/x
  3. Step 3: Cross multiply
    6,717.50x = 14,407 × 14,407
  4. Step 4: Simplify right side
    6,717.50x = 207,561,649
  5. Step 5: Solve for x
    x = 207,561,649/6,717.50
  6. Step 6: Final answer
    x = 30,898.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.