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Finding the Third Proportional to 14,730.19 and 32,021.72

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Solution

The third proportional to 14,730.19 and 32,021.72 is: 69,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,730.19 : 32,021.72 = 32,021.72 : x
  2. Step 2: Convert to fraction form
    14,730.19/32,021.72 = 32,021.72/x
  3. Step 3: Cross multiply
    14,730.19x = 32,021.72 × 32,021.72
  4. Step 4: Simplify right side
    14,730.19x = 1,025,390,471.70
  5. Step 5: Solve for x
    x = 1,025,390,471.70/14,730.19
  6. Step 6: Final answer
    x = 69,611.50

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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.