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Finding the Third Proportional to 14,865.19 and 32,221.13

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Solution

The third proportional to 14,865.19 and 32,221.13 is: 69,841.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865.19 : 32,221.13 = 32,221.13 : x
  2. Step 2: Convert to fraction form
    14,865.19/32,221.13 = 32,221.13/x
  3. Step 3: Cross multiply
    14,865.19x = 32,221.13 × 32,221.13
  4. Step 4: Simplify right side
    14,865.19x = 1,038,200,896.27
  5. Step 5: Solve for x
    x = 1,038,200,896.27/14,865.19
  6. Step 6: Final answer
    x = 69,841.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.