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Finding the Third Proportional to 14,779.97 and 32,434.17

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Solution

The third proportional to 14,779.97 and 32,434.17 is: 71,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,779.97 : 32,434.17 = 32,434.17 : x
  2. Step 2: Convert to fraction form
    14,779.97/32,434.17 = 32,434.17/x
  3. Step 3: Cross multiply
    14,779.97x = 32,434.17 × 32,434.17
  4. Step 4: Simplify right side
    14,779.97x = 1,051,975,505.22
  5. Step 5: Solve for x
    x = 1,051,975,505.22/14,779.97
  6. Step 6: Final answer
    x = 71,175.76

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