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Finding the Third Proportional to 3,457.69 and 5,186.53

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Solution

The third proportional to 3,457.69 and 5,186.53 is: 7,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.69 : 5,186.53 = 5,186.53 : x
  2. Step 2: Convert to fraction form
    3,457.69/5,186.53 = 5,186.53/x
  3. Step 3: Cross multiply
    3,457.69x = 5,186.53 × 5,186.53
  4. Step 4: Simplify right side
    3,457.69x = 26,900,106.41
  5. Step 5: Solve for x
    x = 26,900,106.41/3,457.69
  6. Step 6: Final answer
    x = 7,779.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.