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Finding the Third Proportional to 14,779.69 and 32,433.19

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Solution

The third proportional to 14,779.69 and 32,433.19 is: 71,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,779.69 : 32,433.19 = 32,433.19 : x
  2. Step 2: Convert to fraction form
    14,779.69/32,433.19 = 32,433.19/x
  3. Step 3: Cross multiply
    14,779.69x = 32,433.19 × 32,433.19
  4. Step 4: Simplify right side
    14,779.69x = 1,051,911,651.41
  5. Step 5: Solve for x
    x = 1,051,911,651.41/14,779.69
  6. Step 6: Final answer
    x = 71,172.79

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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.