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Finding the Third Proportional to 5,034.66 and 7,779.80

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Solution

The third proportional to 5,034.66 and 7,779.80 is: 12,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.66 : 7,779.80 = 7,779.80 : x
  2. Step 2: Convert to fraction form
    5,034.66/7,779.80 = 7,779.80/x
  3. Step 3: Cross multiply
    5,034.66x = 7,779.80 × 7,779.80
  4. Step 4: Simplify right side
    5,034.66x = 60,525,239.42
  5. Step 5: Solve for x
    x = 60,525,239.42/5,034.66
  6. Step 6: Final answer
    x = 12,021.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.